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Finding the Third Proportional to 63,588 and 93,436

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Solution

The third proportional to 63,588 and 93,436 is: 137,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,588 : 93,436 = 93,436 : x
  2. Step 2: Convert to fraction form
    63,588/93,436 = 93,436/x
  3. Step 3: Cross multiply
    63,588x = 93,436 × 93,436
  4. Step 4: Simplify right side
    63,588x = 8,730,286,096
  5. Step 5: Solve for x
    x = 8,730,286,096/63,588
  6. Step 6: Final answer
    x = 137,294.55

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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.