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Finding the Third Proportional to 125,962 and 176,102

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Solution

The third proportional to 125,962 and 176,102 is: 246,200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,962 : 176,102 = 176,102 : x
  2. Step 2: Convert to fraction form
    125,962/176,102 = 176,102/x
  3. Step 3: Cross multiply
    125,962x = 176,102 × 176,102
  4. Step 4: Simplify right side
    125,962x = 31,011,914,404
  5. Step 5: Solve for x
    x = 31,011,914,404/125,962
  6. Step 6: Final answer
    x = 246,200.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.