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Finding the Third Proportional to 54,334 and 86,451

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Solution

The third proportional to 54,334 and 86,451 is: 137,552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,334 : 86,451 = 86,451 : x
  2. Step 2: Convert to fraction form
    54,334/86,451 = 86,451/x
  3. Step 3: Cross multiply
    54,334x = 86,451 × 86,451
  4. Step 4: Simplify right side
    54,334x = 7,473,775,401
  5. Step 5: Solve for x
    x = 7,473,775,401/54,334
  6. Step 6: Final answer
    x = 137,552.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.