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Finding the Third Proportional to 72,117 and 98,940

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Solution

The third proportional to 72,117 and 98,940 is: 135,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,117 : 98,940 = 98,940 : x
  2. Step 2: Convert to fraction form
    72,117/98,940 = 98,940/x
  3. Step 3: Cross multiply
    72,117x = 98,940 × 98,940
  4. Step 4: Simplify right side
    72,117x = 9,789,123,600
  5. Step 5: Solve for x
    x = 9,789,123,600/72,117
  6. Step 6: Final answer
    x = 135,739.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.