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Finding the Third Proportional to 84,082.50 and 181,438.88

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Solution

The third proportional to 84,082.50 and 181,438.88 is: 391,521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,082.50 : 181,438.88 = 181,438.88 : x
  2. Step 2: Convert to fraction form
    84,082.50/181,438.88 = 181,438.88/x
  3. Step 3: Cross multiply
    84,082.50x = 181,438.88 × 181,438.88
  4. Step 4: Simplify right side
    84,082.50x = 32,920,065,361.27
  5. Step 5: Solve for x
    x = 32,920,065,361.27/84,082.50
  6. Step 6: Final answer
    x = 391,521.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.