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Finding the Third Proportional to 115,730 and 173,922

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Solution

The third proportional to 115,730 and 173,922 is: 261,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,730 : 173,922 = 173,922 : x
  2. Step 2: Convert to fraction form
    115,730/173,922 = 173,922/x
  3. Step 3: Cross multiply
    115,730x = 173,922 × 173,922
  4. Step 4: Simplify right side
    115,730x = 30,248,862,084
  5. Step 5: Solve for x
    x = 30,248,862,084/115,730
  6. Step 6: Final answer
    x = 261,374.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.