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Finding the Third Proportional to 60,162 and 130,940

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Solution

The third proportional to 60,162 and 130,940 is: 284,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,162 : 130,940 = 130,940 : x
  2. Step 2: Convert to fraction form
    60,162/130,940 = 130,940/x
  3. Step 3: Cross multiply
    60,162x = 130,940 × 130,940
  4. Step 4: Simplify right side
    60,162x = 17,145,283,600
  5. Step 5: Solve for x
    x = 17,145,283,600/60,162
  6. Step 6: Final answer
    x = 284,985.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.