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Finding the Third Proportional to 54,464 and 79,534

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Solution

The third proportional to 54,464 and 79,534 is: 116,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,464 : 79,534 = 79,534 : x
  2. Step 2: Convert to fraction form
    54,464/79,534 = 79,534/x
  3. Step 3: Cross multiply
    54,464x = 79,534 × 79,534
  4. Step 4: Simplify right side
    54,464x = 6,325,657,156
  5. Step 5: Solve for x
    x = 6,325,657,156/54,464
  6. Step 6: Final answer
    x = 116,143.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.