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Finding the Third Proportional to 43,860 and 96,468

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Solution

The third proportional to 43,860 and 96,468 is: 212,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,860 : 96,468 = 96,468 : x
  2. Step 2: Convert to fraction form
    43,860/96,468 = 96,468/x
  3. Step 3: Cross multiply
    43,860x = 96,468 × 96,468
  4. Step 4: Simplify right side
    43,860x = 9,306,075,024
  5. Step 5: Solve for x
    x = 9,306,075,024/43,860
  6. Step 6: Final answer
    x = 212,176.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.