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Finding the Third Proportional to 115,769.75 and 178,267.75

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Solution

The third proportional to 115,769.75 and 178,267.75 is: 274,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,769.75 : 178,267.75 = 178,267.75 : x
  2. Step 2: Convert to fraction form
    115,769.75/178,267.75 = 178,267.75/x
  3. Step 3: Cross multiply
    115,769.75x = 178,267.75 × 178,267.75
  4. Step 4: Simplify right side
    115,769.75x = 31,779,390,690.06
  5. Step 5: Solve for x
    x = 31,779,390,690.06/115,769.75
  6. Step 6: Final answer
    x = 274,505.13

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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.