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Finding the Third Proportional to 83,290 and 124,799

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Solution

The third proportional to 83,290 and 124,799 is: 186,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290 : 124,799 = 124,799 : x
  2. Step 2: Convert to fraction form
    83,290/124,799 = 124,799/x
  3. Step 3: Cross multiply
    83,290x = 124,799 × 124,799
  4. Step 4: Simplify right side
    83,290x = 15,574,790,401
  5. Step 5: Solve for x
    x = 15,574,790,401/83,290
  6. Step 6: Final answer
    x = 186,994.72

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