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Finding the Third Proportional to 124,325 and 187,522

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Solution

The third proportional to 124,325 and 187,522 is: 282,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,325 : 187,522 = 187,522 : x
  2. Step 2: Convert to fraction form
    124,325/187,522 = 187,522/x
  3. Step 3: Cross multiply
    124,325x = 187,522 × 187,522
  4. Step 4: Simplify right side
    124,325x = 35,164,500,484
  5. Step 5: Solve for x
    x = 35,164,500,484/124,325
  6. Step 6: Final answer
    x = 282,843.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.