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Finding the Third Proportional to 71,894 and 105,267

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Solution

The third proportional to 71,894 and 105,267 is: 154,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,894 : 105,267 = 105,267 : x
  2. Step 2: Convert to fraction form
    71,894/105,267 = 105,267/x
  3. Step 3: Cross multiply
    71,894x = 105,267 × 105,267
  4. Step 4: Simplify right side
    71,894x = 11,081,141,289
  5. Step 5: Solve for x
    x = 11,081,141,289/71,894
  6. Step 6: Final answer
    x = 154,131.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.