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Finding the Third Proportional to 63,802 and 137,354

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Solution

The third proportional to 63,802 and 137,354 is: 295,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,802 : 137,354 = 137,354 : x
  2. Step 2: Convert to fraction form
    63,802/137,354 = 137,354/x
  3. Step 3: Cross multiply
    63,802x = 137,354 × 137,354
  4. Step 4: Simplify right side
    63,802x = 18,866,121,316
  5. Step 5: Solve for x
    x = 18,866,121,316/63,802
  6. Step 6: Final answer
    x = 295,697.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.