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Finding the Third Proportional to 60,614 and 129,652

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Solution

The third proportional to 60,614 and 129,652 is: 277,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,614 : 129,652 = 129,652 : x
  2. Step 2: Convert to fraction form
    60,614/129,652 = 129,652/x
  3. Step 3: Cross multiply
    60,614x = 129,652 × 129,652
  4. Step 4: Simplify right side
    60,614x = 16,809,641,104
  5. Step 5: Solve for x
    x = 16,809,641,104/60,614
  6. Step 6: Final answer
    x = 277,322.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.