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Finding the Third Proportional to 89,320 and 142,180

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Solution

The third proportional to 89,320 and 142,180 is: 226,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,320 : 142,180 = 142,180 : x
  2. Step 2: Convert to fraction form
    89,320/142,180 = 142,180/x
  3. Step 3: Cross multiply
    89,320x = 142,180 × 142,180
  4. Step 4: Simplify right side
    89,320x = 20,215,152,400
  5. Step 5: Solve for x
    x = 20,215,152,400/89,320
  6. Step 6: Final answer
    x = 226,322.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.