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Finding the Third Proportional to 63,091 and 96,606

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Solution

The third proportional to 63,091 and 96,606 is: 147,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,091 : 96,606 = 96,606 : x
  2. Step 2: Convert to fraction form
    63,091/96,606 = 96,606/x
  3. Step 3: Cross multiply
    63,091x = 96,606 × 96,606
  4. Step 4: Simplify right side
    63,091x = 9,332,719,236
  5. Step 5: Solve for x
    x = 9,332,719,236/63,091
  6. Step 6: Final answer
    x = 147,924.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.