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Finding the Third Proportional to 86,651.33 and 116,944.70

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Solution

The third proportional to 86,651.33 and 116,944.70 is: 157,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,651.33 : 116,944.70 = 116,944.70 : x
  2. Step 2: Convert to fraction form
    86,651.33/116,944.70 = 116,944.70/x
  3. Step 3: Cross multiply
    86,651.33x = 116,944.70 × 116,944.70
  4. Step 4: Simplify right side
    86,651.33x = 13,676,062,675.36
  5. Step 5: Solve for x
    x = 13,676,062,675.36/86,651.33
  6. Step 6: Final answer
    x = 157,828.65

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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.