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Finding the Third Proportional to 43,344 and 93,600

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Solution

The third proportional to 43,344 and 93,600 is: 202,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,344 : 93,600 = 93,600 : x
  2. Step 2: Convert to fraction form
    43,344/93,600 = 93,600/x
  3. Step 3: Cross multiply
    43,344x = 93,600 × 93,600
  4. Step 4: Simplify right side
    43,344x = 8,760,960,000
  5. Step 5: Solve for x
    x = 8,760,960,000/43,344
  6. Step 6: Final answer
    x = 202,126.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.