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Finding the Third Proportional to 42,492 and 83,928

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Solution

The third proportional to 42,492 and 83,928 is: 165,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,492 : 83,928 = 83,928 : x
  2. Step 2: Convert to fraction form
    42,492/83,928 = 83,928/x
  3. Step 3: Cross multiply
    42,492x = 83,928 × 83,928
  4. Step 4: Simplify right side
    42,492x = 7,043,909,184
  5. Step 5: Solve for x
    x = 7,043,909,184/42,492
  6. Step 6: Final answer
    x = 165,770.24

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.