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Finding the Third Proportional to 54,524 and 77,318

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Solution

The third proportional to 54,524 and 77,318 is: 109,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,524 : 77,318 = 77,318 : x
  2. Step 2: Convert to fraction form
    54,524/77,318 = 77,318/x
  3. Step 3: Cross multiply
    54,524x = 77,318 × 77,318
  4. Step 4: Simplify right side
    54,524x = 5,978,073,124
  5. Step 5: Solve for x
    x = 5,978,073,124/54,524
  6. Step 6: Final answer
    x = 109,641.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.