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Finding the Third Proportional to 71,449 and 105,107

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Solution

The third proportional to 71,449 and 105,107 is: 154,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,449 : 105,107 = 105,107 : x
  2. Step 2: Convert to fraction form
    71,449/105,107 = 105,107/x
  3. Step 3: Cross multiply
    71,449x = 105,107 × 105,107
  4. Step 4: Simplify right side
    71,449x = 11,047,481,449
  5. Step 5: Solve for x
    x = 11,047,481,449/71,449
  6. Step 6: Final answer
    x = 154,620.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.