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Finding the Third Proportional to 60,177 and 130,398

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Solution

The third proportional to 60,177 and 130,398 is: 282,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,177 : 130,398 = 130,398 : x
  2. Step 2: Convert to fraction form
    60,177/130,398 = 130,398/x
  3. Step 3: Cross multiply
    60,177x = 130,398 × 130,398
  4. Step 4: Simplify right side
    60,177x = 17,003,638,404
  5. Step 5: Solve for x
    x = 17,003,638,404/60,177
  6. Step 6: Final answer
    x = 282,560.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.