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Finding the Third Proportional to 125,940 and 176,094

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Solution

The third proportional to 125,940 and 176,094 is: 246,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,940 : 176,094 = 176,094 : x
  2. Step 2: Convert to fraction form
    125,940/176,094 = 176,094/x
  3. Step 3: Cross multiply
    125,940x = 176,094 × 176,094
  4. Step 4: Simplify right side
    125,940x = 31,009,096,836
  5. Step 5: Solve for x
    x = 31,009,096,836/125,940
  6. Step 6: Final answer
    x = 246,221.19

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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.