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Finding the Third Proportional to 67,856 and 103,792

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Solution

The third proportional to 67,856 and 103,792 is: 158,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,856 : 103,792 = 103,792 : x
  2. Step 2: Convert to fraction form
    67,856/103,792 = 103,792/x
  3. Step 3: Cross multiply
    67,856x = 103,792 × 103,792
  4. Step 4: Simplify right side
    67,856x = 10,772,779,264
  5. Step 5: Solve for x
    x = 10,772,779,264/67,856
  6. Step 6: Final answer
    x = 158,759.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.