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Finding the Third Proportional to 29,277 and 64,107

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Solution

The third proportional to 29,277 and 64,107 is: 140,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,277 : 64,107 = 64,107 : x
  2. Step 2: Convert to fraction form
    29,277/64,107 = 64,107/x
  3. Step 3: Cross multiply
    29,277x = 64,107 × 64,107
  4. Step 4: Simplify right side
    29,277x = 4,109,707,449
  5. Step 5: Solve for x
    x = 4,109,707,449/29,277
  6. Step 6: Final answer
    x = 140,373.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.