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Finding the Third Proportional to 60,315 and 131,883

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Solution

The third proportional to 60,315 and 131,883 is: 288,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,315 : 131,883 = 131,883 : x
  2. Step 2: Convert to fraction form
    60,315/131,883 = 131,883/x
  3. Step 3: Cross multiply
    60,315x = 131,883 × 131,883
  4. Step 4: Simplify right side
    60,315x = 17,393,125,689
  5. Step 5: Solve for x
    x = 17,393,125,689/60,315
  6. Step 6: Final answer
    x = 288,371.48

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Why These Related Problems?

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