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Finding the Third Proportional to 63,594 and 93,441

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Solution

The third proportional to 63,594 and 93,441 is: 137,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,594 : 93,441 = 93,441 : x
  2. Step 2: Convert to fraction form
    63,594/93,441 = 93,441/x
  3. Step 3: Cross multiply
    63,594x = 93,441 × 93,441
  4. Step 4: Simplify right side
    63,594x = 8,731,220,481
  5. Step 5: Solve for x
    x = 8,731,220,481/63,594
  6. Step 6: Final answer
    x = 137,296.29

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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.