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Finding the Third Proportional to 64,149 and 148,665

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Solution

The third proportional to 64,149 and 148,665 is: 344,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,149 : 148,665 = 148,665 : x
  2. Step 2: Convert to fraction form
    64,149/148,665 = 148,665/x
  3. Step 3: Cross multiply
    64,149x = 148,665 × 148,665
  4. Step 4: Simplify right side
    64,149x = 22,101,282,225
  5. Step 5: Solve for x
    x = 22,101,282,225/64,149
  6. Step 6: Final answer
    x = 344,530.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.