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Finding the Third Proportional to 159,124 and 223,062

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Solution

The third proportional to 159,124 and 223,062 is: 312,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,124 : 223,062 = 223,062 : x
  2. Step 2: Convert to fraction form
    159,124/223,062 = 223,062/x
  3. Step 3: Cross multiply
    159,124x = 223,062 × 223,062
  4. Step 4: Simplify right side
    159,124x = 49,756,655,844
  5. Step 5: Solve for x
    x = 49,756,655,844/159,124
  6. Step 6: Final answer
    x = 312,691.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.