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Finding the Third Proportional to 88,280 and 134,460

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Solution

The third proportional to 88,280 and 134,460 is: 204,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,280 : 134,460 = 134,460 : x
  2. Step 2: Convert to fraction form
    88,280/134,460 = 134,460/x
  3. Step 3: Cross multiply
    88,280x = 134,460 × 134,460
  4. Step 4: Simplify right side
    88,280x = 18,079,491,600
  5. Step 5: Solve for x
    x = 18,079,491,600/88,280
  6. Step 6: Final answer
    x = 204,797.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.