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Finding the Third Proportional to 63,659 and 125,707

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Solution

The third proportional to 63,659 and 125,707 is: 248,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,659 : 125,707 = 125,707 : x
  2. Step 2: Convert to fraction form
    63,659/125,707 = 125,707/x
  3. Step 3: Cross multiply
    63,659x = 125,707 × 125,707
  4. Step 4: Simplify right side
    63,659x = 15,802,249,849
  5. Step 5: Solve for x
    x = 15,802,249,849/63,659
  6. Step 6: Final answer
    x = 248,232.77

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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.