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Finding the Third Proportional to 54,425 and 84,065

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Solution

The third proportional to 54,425 and 84,065 is: 129,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,425 : 84,065 = 84,065 : x
  2. Step 2: Convert to fraction form
    54,425/84,065 = 84,065/x
  3. Step 3: Cross multiply
    54,425x = 84,065 × 84,065
  4. Step 4: Simplify right side
    54,425x = 7,066,924,225
  5. Step 5: Solve for x
    x = 7,066,924,225/54,425
  6. Step 6: Final answer
    x = 129,847.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.