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Finding the Third Proportional to 54,134 and 79,560

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Solution

The third proportional to 54,134 and 79,560 is: 116,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,134 : 79,560 = 79,560 : x
  2. Step 2: Convert to fraction form
    54,134/79,560 = 79,560/x
  3. Step 3: Cross multiply
    54,134x = 79,560 × 79,560
  4. Step 4: Simplify right side
    54,134x = 6,329,793,600
  5. Step 5: Solve for x
    x = 6,329,793,600/54,134
  6. Step 6: Final answer
    x = 116,928.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.