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Finding the Third Proportional to 54,029 and 72,735

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Solution

The third proportional to 54,029 and 72,735 is: 97,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,029 : 72,735 = 72,735 : x
  2. Step 2: Convert to fraction form
    54,029/72,735 = 72,735/x
  3. Step 3: Cross multiply
    54,029x = 72,735 × 72,735
  4. Step 4: Simplify right side
    54,029x = 5,290,380,225
  5. Step 5: Solve for x
    x = 5,290,380,225/54,029
  6. Step 6: Final answer
    x = 97,917.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.