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Finding the Third Proportional to 122,602.50 and 187,468.13

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Solution

The third proportional to 122,602.50 and 187,468.13 is: 286,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,602.50 : 187,468.13 = 187,468.13 : x
  2. Step 2: Convert to fraction form
    122,602.50/187,468.13 = 187,468.13/x
  3. Step 3: Cross multiply
    122,602.50x = 187,468.13 × 187,468.13
  4. Step 4: Simplify right side
    122,602.50x = 35,144,297,891.02
  5. Step 5: Solve for x
    x = 35,144,297,891.02/122,602.50
  6. Step 6: Final answer
    x = 286,652.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.