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Finding the Third Proportional to 107,226.75 and 157,514.25

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Solution

The third proportional to 107,226.75 and 157,514.25 is: 231,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,226.75 : 157,514.25 = 157,514.25 : x
  2. Step 2: Convert to fraction form
    107,226.75/157,514.25 = 157,514.25/x
  3. Step 3: Cross multiply
    107,226.75x = 157,514.25 × 157,514.25
  4. Step 4: Simplify right side
    107,226.75x = 24,810,738,953.06
  5. Step 5: Solve for x
    x = 24,810,738,953.06/107,226.75
  6. Step 6: Final answer
    x = 231,385.72

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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.