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Finding the Third Proportional to 60,160 and 131,600

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Solution

The third proportional to 60,160 and 131,600 is: 287,875

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,160 : 131,600 = 131,600 : x
  2. Step 2: Convert to fraction form
    60,160/131,600 = 131,600/x
  3. Step 3: Cross multiply
    60,160x = 131,600 × 131,600
  4. Step 4: Simplify right side
    60,160x = 17,318,560,000
  5. Step 5: Solve for x
    x = 17,318,560,000/60,160
  6. Step 6: Final answer
    x = 287,875

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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.