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Finding the Third Proportional to 60,850 and 130,754

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Solution

The third proportional to 60,850 and 130,754 is: 280,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,850 : 130,754 = 130,754 : x
  2. Step 2: Convert to fraction form
    60,850/130,754 = 130,754/x
  3. Step 3: Cross multiply
    60,850x = 130,754 × 130,754
  4. Step 4: Simplify right side
    60,850x = 17,096,608,516
  5. Step 5: Solve for x
    x = 17,096,608,516/60,850
  6. Step 6: Final answer
    x = 280,963.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.