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Finding the Third Proportional to 80,212 and 124,854

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Solution

The third proportional to 80,212 and 124,854 is: 194,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,212 : 124,854 = 124,854 : x
  2. Step 2: Convert to fraction form
    80,212/124,854 = 124,854/x
  3. Step 3: Cross multiply
    80,212x = 124,854 × 124,854
  4. Step 4: Simplify right side
    80,212x = 15,588,521,316
  5. Step 5: Solve for x
    x = 15,588,521,316/80,212
  6. Step 6: Final answer
    x = 194,341.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.