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Finding the Third Proportional to 71,738 and 93,314

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Solution

The third proportional to 71,738 and 93,314 is: 121,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,738 : 93,314 = 93,314 : x
  2. Step 2: Convert to fraction form
    71,738/93,314 = 93,314/x
  3. Step 3: Cross multiply
    71,738x = 93,314 × 93,314
  4. Step 4: Simplify right side
    71,738x = 8,707,502,596
  5. Step 5: Solve for x
    x = 8,707,502,596/71,738
  6. Step 6: Final answer
    x = 121,379.22

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.