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Finding the Third Proportional to 43,750 and 96,524

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Solution

The third proportional to 43,750 and 96,524 is: 212,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,750 : 96,524 = 96,524 : x
  2. Step 2: Convert to fraction form
    43,750/96,524 = 96,524/x
  3. Step 3: Cross multiply
    43,750x = 96,524 × 96,524
  4. Step 4: Simplify right side
    43,750x = 9,316,882,576
  5. Step 5: Solve for x
    x = 9,316,882,576/43,750
  6. Step 6: Final answer
    x = 212,957.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.