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Finding the Third Proportional to 54,460 and 87,734

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Solution

The third proportional to 54,460 and 87,734 is: 141,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,460 : 87,734 = 87,734 : x
  2. Step 2: Convert to fraction form
    54,460/87,734 = 87,734/x
  3. Step 3: Cross multiply
    54,460x = 87,734 × 87,734
  4. Step 4: Simplify right side
    54,460x = 7,697,254,756
  5. Step 5: Solve for x
    x = 7,697,254,756/54,460
  6. Step 6: Final answer
    x = 141,337.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.