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Finding the Third Proportional to 107,258.63 and 157,789.69

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Solution

The third proportional to 107,258.63 and 157,789.69 is: 232,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,258.63 : 157,789.69 = 157,789.69 : x
  2. Step 2: Convert to fraction form
    107,258.63/157,789.69 = 157,789.69/x
  3. Step 3: Cross multiply
    107,258.63x = 157,789.69 × 157,789.69
  4. Step 4: Simplify right side
    107,258.63x = 24,897,585,481.35
  5. Step 5: Solve for x
    x = 24,897,585,481.35/107,258.63
  6. Step 6: Final answer
    x = 232,126.65

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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.