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Finding the Third Proportional to 125,909 and 176,023

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Solution

The third proportional to 125,909 and 176,023 is: 246,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,909 : 176,023 = 176,023 : x
  2. Step 2: Convert to fraction form
    125,909/176,023 = 176,023/x
  3. Step 3: Cross multiply
    125,909x = 176,023 × 176,023
  4. Step 4: Simplify right side
    125,909x = 30,984,096,529
  5. Step 5: Solve for x
    x = 30,984,096,529/125,909
  6. Step 6: Final answer
    x = 246,083.25

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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.