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Finding the Third Proportional to 125,874 and 275,076

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Solution

The third proportional to 125,874 and 275,076 is: 601,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,874 : 275,076 = 275,076 : x
  2. Step 2: Convert to fraction form
    125,874/275,076 = 275,076/x
  3. Step 3: Cross multiply
    125,874x = 275,076 × 275,076
  4. Step 4: Simplify right side
    125,874x = 75,666,805,776
  5. Step 5: Solve for x
    x = 75,666,805,776/125,874
  6. Step 6: Final answer
    x = 601,131.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.