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Finding the Third Proportional to 80,658 and 117,522

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Solution

The third proportional to 80,658 and 117,522 is: 171,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,658 : 117,522 = 117,522 : x
  2. Step 2: Convert to fraction form
    80,658/117,522 = 117,522/x
  3. Step 3: Cross multiply
    80,658x = 117,522 × 117,522
  4. Step 4: Simplify right side
    80,658x = 13,811,420,484
  5. Step 5: Solve for x
    x = 13,811,420,484/80,658
  6. Step 6: Final answer
    x = 171,234.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.