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Finding the Third Proportional to 63,385 and 125,635

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Solution

The third proportional to 63,385 and 125,635 is: 249,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,385 : 125,635 = 125,635 : x
  2. Step 2: Convert to fraction form
    63,385/125,635 = 125,635/x
  3. Step 3: Cross multiply
    63,385x = 125,635 × 125,635
  4. Step 4: Simplify right side
    63,385x = 15,784,153,225
  5. Step 5: Solve for x
    x = 15,784,153,225/63,385
  6. Step 6: Final answer
    x = 249,020.32

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.