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Finding the Third Proportional to 56,082.38 and 86,203.13

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Solution

The third proportional to 56,082.38 and 86,203.13 is: 132,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,082.38 : 86,203.13 = 86,203.13 : x
  2. Step 2: Convert to fraction form
    56,082.38/86,203.13 = 86,203.13/x
  3. Step 3: Cross multiply
    56,082.38x = 86,203.13 × 86,203.13
  4. Step 4: Simplify right side
    56,082.38x = 7,430,978,759.77
  5. Step 5: Solve for x
    x = 7,430,978,759.77/56,082.38
  6. Step 6: Final answer
    x = 132,501.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.