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Finding the Third Proportional to 42,276 and 89,320

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Solution

The third proportional to 42,276 and 89,320 is: 188,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,276 : 89,320 = 89,320 : x
  2. Step 2: Convert to fraction form
    42,276/89,320 = 89,320/x
  3. Step 3: Cross multiply
    42,276x = 89,320 × 89,320
  4. Step 4: Simplify right side
    42,276x = 7,978,062,400
  5. Step 5: Solve for x
    x = 7,978,062,400/42,276
  6. Step 6: Final answer
    x = 188,713.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.