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Finding the Third Proportional to 83,095.50 and 180,285

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Solution

The third proportional to 83,095.50 and 180,285 is: 391,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,095.50 : 180,285 = 180,285 : x
  2. Step 2: Convert to fraction form
    83,095.50/180,285 = 180,285/x
  3. Step 3: Cross multiply
    83,095.50x = 180,285 × 180,285
  4. Step 4: Simplify right side
    83,095.50x = 32,502,681,225
  5. Step 5: Solve for x
    x = 32,502,681,225/83,095.50
  6. Step 6: Final answer
    x = 391,148.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.