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Finding the Third Proportional to 125,980 and 176,129

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Solution

The third proportional to 125,980 and 176,129 is: 246,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,980 : 176,129 = 176,129 : x
  2. Step 2: Convert to fraction form
    125,980/176,129 = 176,129/x
  3. Step 3: Cross multiply
    125,980x = 176,129 × 176,129
  4. Step 4: Simplify right side
    125,980x = 31,021,424,641
  5. Step 5: Solve for x
    x = 31,021,424,641/125,980
  6. Step 6: Final answer
    x = 246,240.87

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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.