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Finding the Third Proportional to 60,167 and 131,998

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Solution

The third proportional to 60,167 and 131,998 is: 289,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,167 : 131,998 = 131,998 : x
  2. Step 2: Convert to fraction form
    60,167/131,998 = 131,998/x
  3. Step 3: Cross multiply
    60,167x = 131,998 × 131,998
  4. Step 4: Simplify right side
    60,167x = 17,423,472,004
  5. Step 5: Solve for x
    x = 17,423,472,004/60,167
  6. Step 6: Final answer
    x = 289,585.19

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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.