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Finding the Third Proportional to 60,660 and 127,602

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Solution

The third proportional to 60,660 and 127,602 is: 268,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,660 : 127,602 = 127,602 : x
  2. Step 2: Convert to fraction form
    60,660/127,602 = 127,602/x
  3. Step 3: Cross multiply
    60,660x = 127,602 × 127,602
  4. Step 4: Simplify right side
    60,660x = 16,282,270,404
  5. Step 5: Solve for x
    x = 16,282,270,404/60,660
  6. Step 6: Final answer
    x = 268,418.57

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Why These Related Problems?

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