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Finding the Third Proportional to 90,280 and 137,340

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Solution

The third proportional to 90,280 and 137,340 is: 208,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,280 : 137,340 = 137,340 : x
  2. Step 2: Convert to fraction form
    90,280/137,340 = 137,340/x
  3. Step 3: Cross multiply
    90,280x = 137,340 × 137,340
  4. Step 4: Simplify right side
    90,280x = 18,862,275,600
  5. Step 5: Solve for x
    x = 18,862,275,600/90,280
  6. Step 6: Final answer
    x = 208,930.83

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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.