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Finding the Third Proportional to 75,505.88 and 162,583.13

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Solution

The third proportional to 75,505.88 and 162,583.13 is: 350,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,505.88 : 162,583.13 = 162,583.13 : x
  2. Step 2: Convert to fraction form
    75,505.88/162,583.13 = 162,583.13/x
  3. Step 3: Cross multiply
    75,505.88x = 162,583.13 × 162,583.13
  4. Step 4: Simplify right side
    75,505.88x = 26,433,272,534.77
  5. Step 5: Solve for x
    x = 26,433,272,534.77/75,505.88
  6. Step 6: Final answer
    x = 350,082.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.