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Finding the Third Proportional to 63,620 and 93,529

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Solution

The third proportional to 63,620 and 93,529 is: 137,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,620 : 93,529 = 93,529 : x
  2. Step 2: Convert to fraction form
    63,620/93,529 = 93,529/x
  3. Step 3: Cross multiply
    63,620x = 93,529 × 93,529
  4. Step 4: Simplify right side
    63,620x = 8,747,673,841
  5. Step 5: Solve for x
    x = 8,747,673,841/63,620
  6. Step 6: Final answer
    x = 137,498.80

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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.