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Finding the Third Proportional to 83,552.34 and 173,989.13

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Solution

The third proportional to 83,552.34 and 173,989.13 is: 362,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,552.34 : 173,989.13 = 173,989.13 : x
  2. Step 2: Convert to fraction form
    83,552.34/173,989.13 = 173,989.13/x
  3. Step 3: Cross multiply
    83,552.34x = 173,989.13 × 173,989.13
  4. Step 4: Simplify right side
    83,552.34x = 30,272,215,618.27
  5. Step 5: Solve for x
    x = 30,272,215,618.27/83,552.34
  6. Step 6: Final answer
    x = 362,314.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.