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Finding the Third Proportional to 54,406 and 79,746

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Solution

The third proportional to 54,406 and 79,746 is: 116,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,406 : 79,746 = 79,746 : x
  2. Step 2: Convert to fraction form
    54,406/79,746 = 79,746/x
  3. Step 3: Cross multiply
    54,406x = 79,746 × 79,746
  4. Step 4: Simplify right side
    54,406x = 6,359,424,516
  5. Step 5: Solve for x
    x = 6,359,424,516/54,406
  6. Step 6: Final answer
    x = 116,888.29

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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.