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Finding the Third Proportional to 64,923 and 98,087

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Solution

The third proportional to 64,923 and 98,087 is: 148,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,923 : 98,087 = 98,087 : x
  2. Step 2: Convert to fraction form
    64,923/98,087 = 98,087/x
  3. Step 3: Cross multiply
    64,923x = 98,087 × 98,087
  4. Step 4: Simplify right side
    64,923x = 9,621,059,569
  5. Step 5: Solve for x
    x = 9,621,059,569/64,923
  6. Step 6: Final answer
    x = 148,191.85

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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.