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Finding the Third Proportional to 108,534 and 169,746

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Solution

The third proportional to 108,534 and 169,746 is: 265,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,534 : 169,746 = 169,746 : x
  2. Step 2: Convert to fraction form
    108,534/169,746 = 169,746/x
  3. Step 3: Cross multiply
    108,534x = 169,746 × 169,746
  4. Step 4: Simplify right side
    108,534x = 28,813,704,516
  5. Step 5: Solve for x
    x = 28,813,704,516/108,534
  6. Step 6: Final answer
    x = 265,480.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.