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Finding the Third Proportional to 125,576 and 175,996

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Solution

The third proportional to 125,576 and 175,996 is: 246,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,576 : 175,996 = 175,996 : x
  2. Step 2: Convert to fraction form
    125,576/175,996 = 175,996/x
  3. Step 3: Cross multiply
    125,576x = 175,996 × 175,996
  4. Step 4: Simplify right side
    125,576x = 30,974,592,016
  5. Step 5: Solve for x
    x = 30,974,592,016/125,576
  6. Step 6: Final answer
    x = 246,660.13

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