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Finding the Third Proportional to 61,405.88 and 91,728.56

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Solution

The third proportional to 61,405.88 and 91,728.56 is: 137,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,405.88 : 91,728.56 = 91,728.56 : x
  2. Step 2: Convert to fraction form
    61,405.88/91,728.56 = 91,728.56/x
  3. Step 3: Cross multiply
    61,405.88x = 91,728.56 × 91,728.56
  4. Step 4: Simplify right side
    61,405.88x = 8,414,129,178.32
  5. Step 5: Solve for x
    x = 8,414,129,178.32/61,405.88
  6. Step 6: Final answer
    x = 137,024.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.