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Finding the Third Proportional to 58,861 and 127,199

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Solution

The third proportional to 58,861 and 127,199 is: 274,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,861 : 127,199 = 127,199 : x
  2. Step 2: Convert to fraction form
    58,861/127,199 = 127,199/x
  3. Step 3: Cross multiply
    58,861x = 127,199 × 127,199
  4. Step 4: Simplify right side
    58,861x = 16,179,585,601
  5. Step 5: Solve for x
    x = 16,179,585,601/58,861
  6. Step 6: Final answer
    x = 274,877.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.