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Finding the Third Proportional to 77,565.75 and 113,883.75

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Solution

The third proportional to 77,565.75 and 113,883.75 is: 167,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,565.75 : 113,883.75 = 113,883.75 : x
  2. Step 2: Convert to fraction form
    77,565.75/113,883.75 = 113,883.75/x
  3. Step 3: Cross multiply
    77,565.75x = 113,883.75 × 113,883.75
  4. Step 4: Simplify right side
    77,565.75x = 12,969,508,514.06
  5. Step 5: Solve for x
    x = 12,969,508,514.06/77,565.75
  6. Step 6: Final answer
    x = 167,206.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.