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Finding the Third Proportional to 67,838 and 99,792

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Solution

The third proportional to 67,838 and 99,792 is: 146,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,838 : 99,792 = 99,792 : x
  2. Step 2: Convert to fraction form
    67,838/99,792 = 99,792/x
  3. Step 3: Cross multiply
    67,838x = 99,792 × 99,792
  4. Step 4: Simplify right side
    67,838x = 9,958,443,264
  5. Step 5: Solve for x
    x = 9,958,443,264/67,838
  6. Step 6: Final answer
    x = 146,797.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.