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Finding the Third Proportional to 78,543.42 and 169,540.59

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Solution

The third proportional to 78,543.42 and 169,540.59 is: 365,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,543.42 : 169,540.59 = 169,540.59 : x
  2. Step 2: Convert to fraction form
    78,543.42/169,540.59 = 169,540.59/x
  3. Step 3: Cross multiply
    78,543.42x = 169,540.59 × 169,540.59
  4. Step 4: Simplify right side
    78,543.42x = 28,744,012,929.10
  5. Step 5: Solve for x
    x = 28,744,012,929.10/78,543.42
  6. Step 6: Final answer
    x = 365,963.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.