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Finding the Third Proportional to 110,258.72 and 164,953.97

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Solution

The third proportional to 110,258.72 and 164,953.97 is: 246,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,258.72 : 164,953.97 = 164,953.97 : x
  2. Step 2: Convert to fraction form
    110,258.72/164,953.97 = 164,953.97/x
  3. Step 3: Cross multiply
    110,258.72x = 164,953.97 × 164,953.97
  4. Step 4: Simplify right side
    110,258.72x = 27,209,811,806.38
  5. Step 5: Solve for x
    x = 27,209,811,806.38/110,258.72
  6. Step 6: Final answer
    x = 246,781.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.