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Finding the Third Proportional to 80,248 and 120,376

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Solution

The third proportional to 80,248 and 120,376 is: 180,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,248 : 120,376 = 120,376 : x
  2. Step 2: Convert to fraction form
    80,248/120,376 = 120,376/x
  3. Step 3: Cross multiply
    80,248x = 120,376 × 120,376
  4. Step 4: Simplify right side
    80,248x = 14,490,381,376
  5. Step 5: Solve for x
    x = 14,490,381,376/80,248
  6. Step 6: Final answer
    x = 180,570.00

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Why These Related Problems?

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