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Finding the Third Proportional to 96,017.06 and 145,351.97

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Solution

The third proportional to 96,017.06 and 145,351.97 is: 220,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,017.06 : 145,351.97 = 145,351.97 : x
  2. Step 2: Convert to fraction form
    96,017.06/145,351.97 = 145,351.97/x
  3. Step 3: Cross multiply
    96,017.06x = 145,351.97 × 145,351.97
  4. Step 4: Simplify right side
    96,017.06x = 21,127,194,819.50
  5. Step 5: Solve for x
    x = 21,127,194,819.50/96,017.06
  6. Step 6: Final answer
    x = 220,035.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.