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Finding the Third Proportional to 60,142.50 and 82,149.19

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Solution

The third proportional to 60,142.50 and 82,149.19 is: 112,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,142.50 : 82,149.19 = 82,149.19 : x
  2. Step 2: Convert to fraction form
    60,142.50/82,149.19 = 82,149.19/x
  3. Step 3: Cross multiply
    60,142.50x = 82,149.19 × 82,149.19
  4. Step 4: Simplify right side
    60,142.50x = 6,748,489,006.91
  5. Step 5: Solve for x
    x = 6,748,489,006.91/60,142.50
  6. Step 6: Final answer
    x = 112,208.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.