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Finding the Third Proportional to 60,963 and 130,380

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Solution

The third proportional to 60,963 and 130,380 is: 278,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,963 : 130,380 = 130,380 : x
  2. Step 2: Convert to fraction form
    60,963/130,380 = 130,380/x
  3. Step 3: Cross multiply
    60,963x = 130,380 × 130,380
  4. Step 4: Simplify right side
    60,963x = 16,998,944,400
  5. Step 5: Solve for x
    x = 16,998,944,400/60,963
  6. Step 6: Final answer
    x = 278,840.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.