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Finding the Third Proportional to 80,427 and 118,298

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Solution

The third proportional to 80,427 and 118,298 is: 174,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,427 : 118,298 = 118,298 : x
  2. Step 2: Convert to fraction form
    80,427/118,298 = 118,298/x
  3. Step 3: Cross multiply
    80,427x = 118,298 × 118,298
  4. Step 4: Simplify right side
    80,427x = 13,994,416,804
  5. Step 5: Solve for x
    x = 13,994,416,804/80,427
  6. Step 6: Final answer
    x = 174,001.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.