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Finding the Third Proportional to 63,626 and 93,538

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Solution

The third proportional to 63,626 and 93,538 is: 137,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,626 : 93,538 = 93,538 : x
  2. Step 2: Convert to fraction form
    63,626/93,538 = 93,538/x
  3. Step 3: Cross multiply
    63,626x = 93,538 × 93,538
  4. Step 4: Simplify right side
    63,626x = 8,749,357,444
  5. Step 5: Solve for x
    x = 8,749,357,444/63,626
  6. Step 6: Final answer
    x = 137,512.30

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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.