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Finding the Third Proportional to 64,024.31 and 93,960.56

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Solution

The third proportional to 64,024.31 and 93,960.56 is: 137,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,024.31 : 93,960.56 = 93,960.56 : x
  2. Step 2: Convert to fraction form
    64,024.31/93,960.56 = 93,960.56/x
  3. Step 3: Cross multiply
    64,024.31x = 93,960.56 × 93,960.56
  4. Step 4: Simplify right side
    64,024.31x = 8,828,587,305.32
  5. Step 5: Solve for x
    x = 8,828,587,305.32/64,024.31
  6. Step 6: Final answer
    x = 137,894.29

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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.