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Finding the Third Proportional to 107,581 and 227,475

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Solution

The third proportional to 107,581 and 227,475 is: 480,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,581 : 227,475 = 227,475 : x
  2. Step 2: Convert to fraction form
    107,581/227,475 = 227,475/x
  3. Step 3: Cross multiply
    107,581x = 227,475 × 227,475
  4. Step 4: Simplify right side
    107,581x = 51,744,875,625
  5. Step 5: Solve for x
    x = 51,744,875,625/107,581
  6. Step 6: Final answer
    x = 480,985.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.