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Finding the Third Proportional to 54,046 and 72,759

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Solution

The third proportional to 54,046 and 72,759 is: 97,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,046 : 72,759 = 72,759 : x
  2. Step 2: Convert to fraction form
    54,046/72,759 = 72,759/x
  3. Step 3: Cross multiply
    54,046x = 72,759 × 72,759
  4. Step 4: Simplify right side
    54,046x = 5,293,872,081
  5. Step 5: Solve for x
    x = 5,293,872,081/54,046
  6. Step 6: Final answer
    x = 97,951.23

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