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Finding the Third Proportional to 60,522.75 and 127,658.25

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Solution

The third proportional to 60,522.75 and 127,658.25 is: 269,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,522.75 : 127,658.25 = 127,658.25 : x
  2. Step 2: Convert to fraction form
    60,522.75/127,658.25 = 127,658.25/x
  3. Step 3: Cross multiply
    60,522.75x = 127,658.25 × 127,658.25
  4. Step 4: Simplify right side
    60,522.75x = 16,296,628,793.06
  5. Step 5: Solve for x
    x = 16,296,628,793.06/60,522.75
  6. Step 6: Final answer
    x = 269,264.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.