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Finding the Third Proportional to 60,701 and 131,386

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Solution

The third proportional to 60,701 and 131,386 is: 284,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,701 : 131,386 = 131,386 : x
  2. Step 2: Convert to fraction form
    60,701/131,386 = 131,386/x
  3. Step 3: Cross multiply
    60,701x = 131,386 × 131,386
  4. Step 4: Simplify right side
    60,701x = 17,262,280,996
  5. Step 5: Solve for x
    x = 17,262,280,996/60,701
  6. Step 6: Final answer
    x = 284,382.15

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Why These Related Problems?

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