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Finding the Third Proportional to 83,311.59 and 119,052.28

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Solution

The third proportional to 83,311.59 and 119,052.28 is: 170,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.59 : 119,052.28 = 119,052.28 : x
  2. Step 2: Convert to fraction form
    83,311.59/119,052.28 = 119,052.28/x
  3. Step 3: Cross multiply
    83,311.59x = 119,052.28 × 119,052.28
  4. Step 4: Simplify right side
    83,311.59x = 14,173,445,670.83
  5. Step 5: Solve for x
    x = 14,173,445,670.83/83,311.59
  6. Step 6: Final answer
    x = 170,125.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.