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Finding the Third Proportional to 80,574 and 122,637

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Solution

The third proportional to 80,574 and 122,637 is: 186,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,574 : 122,637 = 122,637 : x
  2. Step 2: Convert to fraction form
    80,574/122,637 = 122,637/x
  3. Step 3: Cross multiply
    80,574x = 122,637 × 122,637
  4. Step 4: Simplify right side
    80,574x = 15,039,833,769
  5. Step 5: Solve for x
    x = 15,039,833,769/80,574
  6. Step 6: Final answer
    x = 186,658.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.