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Finding the Third Proportional to 85,872.85 and 183,158.05

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Solution

The third proportional to 85,872.85 and 183,158.05 is: 390,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,872.85 : 183,158.05 = 183,158.05 : x
  2. Step 2: Convert to fraction form
    85,872.85/183,158.05 = 183,158.05/x
  3. Step 3: Cross multiply
    85,872.85x = 183,158.05 × 183,158.05
  4. Step 4: Simplify right side
    85,872.85x = 33,546,869,956.20
  5. Step 5: Solve for x
    x = 33,546,869,956.20/85,872.85
  6. Step 6: Final answer
    x = 390,657.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.