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Finding the Third Proportional to 42,512 and 98,792

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Solution

The third proportional to 42,512 and 98,792 is: 229,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,512 : 98,792 = 98,792 : x
  2. Step 2: Convert to fraction form
    42,512/98,792 = 98,792/x
  3. Step 3: Cross multiply
    42,512x = 98,792 × 98,792
  4. Step 4: Simplify right side
    42,512x = 9,759,859,264
  5. Step 5: Solve for x
    x = 9,759,859,264/42,512
  6. Step 6: Final answer
    x = 229,578.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.