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Finding the Third Proportional to 107,495 and 169,491

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Solution

The third proportional to 107,495 and 169,491 is: 267,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,495 : 169,491 = 169,491 : x
  2. Step 2: Convert to fraction form
    107,495/169,491 = 169,491/x
  3. Step 3: Cross multiply
    107,495x = 169,491 × 169,491
  4. Step 4: Simplify right side
    107,495x = 28,727,199,081
  5. Step 5: Solve for x
    x = 28,727,199,081/107,495
  6. Step 6: Final answer
    x = 267,242.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.