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Finding the Third Proportional to 84,786.75 and 115,151.63

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Solution

The third proportional to 84,786.75 and 115,151.63 is: 156,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,786.75 : 115,151.63 = 115,151.63 : x
  2. Step 2: Convert to fraction form
    84,786.75/115,151.63 = 115,151.63/x
  3. Step 3: Cross multiply
    84,786.75x = 115,151.63 × 115,151.63
  4. Step 4: Simplify right side
    84,786.75x = 13,259,896,740.14
  5. Step 5: Solve for x
    x = 13,259,896,740.14/84,786.75
  6. Step 6: Final answer
    x = 156,391.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.