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Finding the Third Proportional to 45,519 and 99,376

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Solution

The third proportional to 45,519 and 99,376 is: 216,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,519 : 99,376 = 99,376 : x
  2. Step 2: Convert to fraction form
    45,519/99,376 = 99,376/x
  3. Step 3: Cross multiply
    45,519x = 99,376 × 99,376
  4. Step 4: Simplify right side
    45,519x = 9,875,589,376
  5. Step 5: Solve for x
    x = 9,875,589,376/45,519
  6. Step 6: Final answer
    x = 216,955.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.