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Finding the Third Proportional to 63,856 and 93,928

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Solution

The third proportional to 63,856 and 93,928 is: 138,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,856 : 93,928 = 93,928 : x
  2. Step 2: Convert to fraction form
    63,856/93,928 = 93,928/x
  3. Step 3: Cross multiply
    63,856x = 93,928 × 93,928
  4. Step 4: Simplify right side
    63,856x = 8,822,469,184
  5. Step 5: Solve for x
    x = 8,822,469,184/63,856
  6. Step 6: Final answer
    x = 138,161.95

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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.