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Finding the Third Proportional to 61,216.13 and 89,728.31

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Solution

The third proportional to 61,216.13 and 89,728.31 is: 131,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,216.13 : 89,728.31 = 89,728.31 : x
  2. Step 2: Convert to fraction form
    61,216.13/89,728.31 = 89,728.31/x
  3. Step 3: Cross multiply
    61,216.13x = 89,728.31 × 89,728.31
  4. Step 4: Simplify right side
    61,216.13x = 8,051,170,064.10
  5. Step 5: Solve for x
    x = 8,051,170,064.10/61,216.13
  6. Step 6: Final answer
    x = 131,520.41

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