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Finding the Third Proportional to 129,097.13 and 185,937.19

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Solution

The third proportional to 129,097.13 and 185,937.19 is: 267,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,097.13 : 185,937.19 = 185,937.19 : x
  2. Step 2: Convert to fraction form
    129,097.13/185,937.19 = 185,937.19/x
  3. Step 3: Cross multiply
    129,097.13x = 185,937.19 × 185,937.19
  4. Step 4: Simplify right side
    129,097.13x = 34,572,637,695.41
  5. Step 5: Solve for x
    x = 34,572,637,695.41/129,097.13
  6. Step 6: Final answer
    x = 267,803.31

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.