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Finding the Third Proportional to 63,782 and 93,732

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Solution

The third proportional to 63,782 and 93,732 is: 137,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,782 : 93,732 = 93,732 : x
  2. Step 2: Convert to fraction form
    63,782/93,732 = 93,732/x
  3. Step 3: Cross multiply
    63,782x = 93,732 × 93,732
  4. Step 4: Simplify right side
    63,782x = 8,785,687,824
  5. Step 5: Solve for x
    x = 8,785,687,824/63,782
  6. Step 6: Final answer
    x = 137,745.57

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Why These Related Problems?

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