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Finding the Third Proportional to 42,452 and 93,380

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Solution

The third proportional to 42,452 and 93,380 is: 205,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,452 : 93,380 = 93,380 : x
  2. Step 2: Convert to fraction form
    42,452/93,380 = 93,380/x
  3. Step 3: Cross multiply
    42,452x = 93,380 × 93,380
  4. Step 4: Simplify right side
    42,452x = 8,719,824,400
  5. Step 5: Solve for x
    x = 8,719,824,400/42,452
  6. Step 6: Final answer
    x = 205,404.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.