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Finding the Third Proportional to 45,423 and 96,894

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Solution

The third proportional to 45,423 and 96,894 is: 206,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,423 : 96,894 = 96,894 : x
  2. Step 2: Convert to fraction form
    45,423/96,894 = 96,894/x
  3. Step 3: Cross multiply
    45,423x = 96,894 × 96,894
  4. Step 4: Simplify right side
    45,423x = 9,388,447,236
  5. Step 5: Solve for x
    x = 9,388,447,236/45,423
  6. Step 6: Final answer
    x = 206,689.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.