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Finding the Third Proportional to 83,176.88 and 130,311.28

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Solution

The third proportional to 83,176.88 and 130,311.28 is: 204,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,176.88 : 130,311.28 = 130,311.28 : x
  2. Step 2: Convert to fraction form
    83,176.88/130,311.28 = 130,311.28/x
  3. Step 3: Cross multiply
    83,176.88x = 130,311.28 × 130,311.28
  4. Step 4: Simplify right side
    83,176.88x = 16,981,030,021.02
  5. Step 5: Solve for x
    x = 16,981,030,021.02/83,176.88
  6. Step 6: Final answer
    x = 204,155.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.