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Finding the Third Proportional to 85,240 and 132,348

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Solution

The third proportional to 85,240 and 132,348 is: 205,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,240 : 132,348 = 132,348 : x
  2. Step 2: Convert to fraction form
    85,240/132,348 = 132,348/x
  3. Step 3: Cross multiply
    85,240x = 132,348 × 132,348
  4. Step 4: Simplify right side
    85,240x = 17,515,993,104
  5. Step 5: Solve for x
    x = 17,515,993,104/85,240
  6. Step 6: Final answer
    x = 205,490.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.