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Finding the Third Proportional to 86,437.13 and 116,523.56

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Solution

The third proportional to 86,437.13 and 116,523.56 is: 157,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,437.13 : 116,523.56 = 116,523.56 : x
  2. Step 2: Convert to fraction form
    86,437.13/116,523.56 = 116,523.56/x
  3. Step 3: Cross multiply
    86,437.13x = 116,523.56 × 116,523.56
  4. Step 4: Simplify right side
    86,437.13x = 13,577,740,617.69
  5. Step 5: Solve for x
    x = 13,577,740,617.69/86,437.13
  6. Step 6: Final answer
    x = 157,082.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.