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Finding the Third Proportional to 61,972 and 127,612

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Solution

The third proportional to 61,972 and 127,612 is: 262,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,972 : 127,612 = 127,612 : x
  2. Step 2: Convert to fraction form
    61,972/127,612 = 127,612/x
  3. Step 3: Cross multiply
    61,972x = 127,612 × 127,612
  4. Step 4: Simplify right side
    61,972x = 16,284,822,544
  5. Step 5: Solve for x
    x = 16,284,822,544/61,972
  6. Step 6: Final answer
    x = 262,777.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.