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Finding the Third Proportional to 60,792 and 126,415

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Solution

The third proportional to 60,792 and 126,415 is: 262,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,792 : 126,415 = 126,415 : x
  2. Step 2: Convert to fraction form
    60,792/126,415 = 126,415/x
  3. Step 3: Cross multiply
    60,792x = 126,415 × 126,415
  4. Step 4: Simplify right side
    60,792x = 15,980,752,225
  5. Step 5: Solve for x
    x = 15,980,752,225/60,792
  6. Step 6: Final answer
    x = 262,875.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.