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Finding the Third Proportional to 108,088.17 and 171,755.12

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Solution

The third proportional to 108,088.17 and 171,755.12 is: 272,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,088.17 : 171,755.12 = 171,755.12 : x
  2. Step 2: Convert to fraction form
    108,088.17/171,755.12 = 171,755.12/x
  3. Step 3: Cross multiply
    108,088.17x = 171,755.12 × 171,755.12
  4. Step 4: Simplify right side
    108,088.17x = 29,499,821,621.93
  5. Step 5: Solve for x
    x = 29,499,821,621.93/108,088.17
  6. Step 6: Final answer
    x = 272,923.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.