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Finding the Third Proportional to 83,132.25 and 172,176

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Solution

The third proportional to 83,132.25 and 172,176 is: 356,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132.25 : 172,176 = 172,176 : x
  2. Step 2: Convert to fraction form
    83,132.25/172,176 = 172,176/x
  3. Step 3: Cross multiply
    83,132.25x = 172,176 × 172,176
  4. Step 4: Simplify right side
    83,132.25x = 29,644,574,976
  5. Step 5: Solve for x
    x = 29,644,574,976/83,132.25
  6. Step 6: Final answer
    x = 356,595.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.