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Finding the Third Proportional to 43,749 and 93,708

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Solution

The third proportional to 43,749 and 93,708 is: 200,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,749 : 93,708 = 93,708 : x
  2. Step 2: Convert to fraction form
    43,749/93,708 = 93,708/x
  3. Step 3: Cross multiply
    43,749x = 93,708 × 93,708
  4. Step 4: Simplify right side
    43,749x = 8,781,189,264
  5. Step 5: Solve for x
    x = 8,781,189,264/43,749
  6. Step 6: Final answer
    x = 200,717.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.