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Finding the Third Proportional to 61,988 and 127,244

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Solution

The third proportional to 61,988 and 127,244 is: 261,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,988 : 127,244 = 127,244 : x
  2. Step 2: Convert to fraction form
    61,988/127,244 = 127,244/x
  3. Step 3: Cross multiply
    61,988x = 127,244 × 127,244
  4. Step 4: Simplify right side
    61,988x = 16,191,035,536
  5. Step 5: Solve for x
    x = 16,191,035,536/61,988
  6. Step 6: Final answer
    x = 261,196.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.