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Finding the Third Proportional to 142,651.13 and 187,611.19

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Solution

The third proportional to 142,651.13 and 187,611.19 is: 246,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,651.13 : 187,611.19 = 187,611.19 : x
  2. Step 2: Convert to fraction form
    142,651.13/187,611.19 = 187,611.19/x
  3. Step 3: Cross multiply
    142,651.13x = 187,611.19 × 187,611.19
  4. Step 4: Simplify right side
    142,651.13x = 35,197,957,675.16
  5. Step 5: Solve for x
    x = 35,197,957,675.16/142,651.13
  6. Step 6: Final answer
    x = 246,741.54

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.