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Finding the Third Proportional to 125,928 and 176,052

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Solution

The third proportional to 125,928 and 176,052 is: 246,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,928 : 176,052 = 176,052 : x
  2. Step 2: Convert to fraction form
    125,928/176,052 = 176,052/x
  3. Step 3: Cross multiply
    125,928x = 176,052 × 176,052
  4. Step 4: Simplify right side
    125,928x = 30,994,306,704
  5. Step 5: Solve for x
    x = 30,994,306,704/125,928
  6. Step 6: Final answer
    x = 246,127.21

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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.