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Finding the Third Proportional to 107,756 and 229,132

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Solution

The third proportional to 107,756 and 229,132 is: 487,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,756 : 229,132 = 229,132 : x
  2. Step 2: Convert to fraction form
    107,756/229,132 = 229,132/x
  3. Step 3: Cross multiply
    107,756x = 229,132 × 229,132
  4. Step 4: Simplify right side
    107,756x = 52,501,473,424
  5. Step 5: Solve for x
    x = 52,501,473,424/107,756
  6. Step 6: Final answer
    x = 487,225.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.