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Finding the Third Proportional to 29,278.13 and 65,107

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Solution

The third proportional to 29,278.13 and 65,107 is: 144,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,278.13 : 65,107 = 65,107 : x
  2. Step 2: Convert to fraction form
    29,278.13/65,107 = 65,107/x
  3. Step 3: Cross multiply
    29,278.13x = 65,107 × 65,107
  4. Step 4: Simplify right side
    29,278.13x = 4,238,921,449
  5. Step 5: Solve for x
    x = 4,238,921,449/29,278.13
  6. Step 6: Final answer
    x = 144,781.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.