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Finding the Third Proportional to 108,534.75 and 169,747.13

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Solution

The third proportional to 108,534.75 and 169,747.13 is: 265,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,534.75 : 169,747.13 = 169,747.13 : x
  2. Step 2: Convert to fraction form
    108,534.75/169,747.13 = 169,747.13/x
  3. Step 3: Cross multiply
    108,534.75x = 169,747.13 × 169,747.13
  4. Step 4: Simplify right side
    108,534.75x = 28,814,086,445.77
  5. Step 5: Solve for x
    x = 28,814,086,445.77/108,534.75
  6. Step 6: Final answer
    x = 265,482.59

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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.