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Finding the Third Proportional to 63,551 and 125,506

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Solution

The third proportional to 63,551 and 125,506 is: 247,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,551 : 125,506 = 125,506 : x
  2. Step 2: Convert to fraction form
    63,551/125,506 = 125,506/x
  3. Step 3: Cross multiply
    63,551x = 125,506 × 125,506
  4. Step 4: Simplify right side
    63,551x = 15,751,756,036
  5. Step 5: Solve for x
    x = 15,751,756,036/63,551
  6. Step 6: Final answer
    x = 247,860.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.