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Finding the Third Proportional to 63,669 and 148,665

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Solution

The third proportional to 63,669 and 148,665 is: 347,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,669 : 148,665 = 148,665 : x
  2. Step 2: Convert to fraction form
    63,669/148,665 = 148,665/x
  3. Step 3: Cross multiply
    63,669x = 148,665 × 148,665
  4. Step 4: Simplify right side
    63,669x = 22,101,282,225
  5. Step 5: Solve for x
    x = 22,101,282,225/63,669
  6. Step 6: Final answer
    x = 347,127.84

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.