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Finding the Third Proportional to 60,664 and 127,612

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Solution

The third proportional to 60,664 and 127,612 is: 268,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,664 : 127,612 = 127,612 : x
  2. Step 2: Convert to fraction form
    60,664/127,612 = 127,612/x
  3. Step 3: Cross multiply
    60,664x = 127,612 × 127,612
  4. Step 4: Simplify right side
    60,664x = 16,284,822,544
  5. Step 5: Solve for x
    x = 16,284,822,544/60,664
  6. Step 6: Final answer
    x = 268,442.94

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.