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Finding the Third Proportional to 72,652 and 98,610

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Solution

The third proportional to 72,652 and 98,610 is: 133,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,652 : 98,610 = 98,610 : x
  2. Step 2: Convert to fraction form
    72,652/98,610 = 98,610/x
  3. Step 3: Cross multiply
    72,652x = 98,610 × 98,610
  4. Step 4: Simplify right side
    72,652x = 9,723,932,100
  5. Step 5: Solve for x
    x = 9,723,932,100/72,652
  6. Step 6: Final answer
    x = 133,842.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.