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Finding the Third Proportional to 63,774 and 93,712

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Solution

The third proportional to 63,774 and 93,712 is: 137,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,774 : 93,712 = 93,712 : x
  2. Step 2: Convert to fraction form
    63,774/93,712 = 93,712/x
  3. Step 3: Cross multiply
    63,774x = 93,712 × 93,712
  4. Step 4: Simplify right side
    63,774x = 8,781,938,944
  5. Step 5: Solve for x
    x = 8,781,938,944/63,774
  6. Step 6: Final answer
    x = 137,704.06

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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.