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Finding the Third Proportional to 43,748 and 93,720

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Solution

The third proportional to 43,748 and 93,720 is: 200,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,748 : 93,720 = 93,720 : x
  2. Step 2: Convert to fraction form
    43,748/93,720 = 93,720/x
  3. Step 3: Cross multiply
    43,748x = 93,720 × 93,720
  4. Step 4: Simplify right side
    43,748x = 8,783,438,400
  5. Step 5: Solve for x
    x = 8,783,438,400/43,748
  6. Step 6: Final answer
    x = 200,773.48

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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.