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Finding the Third Proportional to 49,894 and 73,362

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Solution

The third proportional to 49,894 and 73,362 is: 107,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894 : 73,362 = 73,362 : x
  2. Step 2: Convert to fraction form
    49,894/73,362 = 73,362/x
  3. Step 3: Cross multiply
    49,894x = 73,362 × 73,362
  4. Step 4: Simplify right side
    49,894x = 5,381,983,044
  5. Step 5: Solve for x
    x = 5,381,983,044/49,894
  6. Step 6: Final answer
    x = 107,868.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.