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Finding the Third Proportional to 60,747 and 131,478

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Solution

The third proportional to 60,747 and 131,478 is: 284,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,747 : 131,478 = 131,478 : x
  2. Step 2: Convert to fraction form
    60,747/131,478 = 131,478/x
  3. Step 3: Cross multiply
    60,747x = 131,478 × 131,478
  4. Step 4: Simplify right side
    60,747x = 17,286,464,484
  5. Step 5: Solve for x
    x = 17,286,464,484/60,747
  6. Step 6: Final answer
    x = 284,564.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.