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Finding the Third Proportional to 80,894 and 122,473

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Solution

The third proportional to 80,894 and 122,473 is: 185,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,894 : 122,473 = 122,473 : x
  2. Step 2: Convert to fraction form
    80,894/122,473 = 122,473/x
  3. Step 3: Cross multiply
    80,894x = 122,473 × 122,473
  4. Step 4: Simplify right side
    80,894x = 14,999,635,729
  5. Step 5: Solve for x
    x = 14,999,635,729/80,894
  6. Step 6: Final answer
    x = 185,423.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.