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Finding the Third Proportional to 60,011 and 131,320

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Solution

The third proportional to 60,011 and 131,320 is: 287,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,011 : 131,320 = 131,320 : x
  2. Step 2: Convert to fraction form
    60,011/131,320 = 131,320/x
  3. Step 3: Cross multiply
    60,011x = 131,320 × 131,320
  4. Step 4: Simplify right side
    60,011x = 17,244,942,400
  5. Step 5: Solve for x
    x = 17,244,942,400/60,011
  6. Step 6: Final answer
    x = 287,363.02

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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.