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Finding the Third Proportional to 86,115 and 125,769.75

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Solution

The third proportional to 86,115 and 125,769.75 is: 183,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,115 : 125,769.75 = 125,769.75 : x
  2. Step 2: Convert to fraction form
    86,115/125,769.75 = 125,769.75/x
  3. Step 3: Cross multiply
    86,115x = 125,769.75 × 125,769.75
  4. Step 4: Simplify right side
    86,115x = 15,818,030,015.06
  5. Step 5: Solve for x
    x = 15,818,030,015.06/86,115
  6. Step 6: Final answer
    x = 183,684.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.