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Finding the Third Proportional to 60,734 and 84,927

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Solution

The third proportional to 60,734 and 84,927 is: 118,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,734 : 84,927 = 84,927 : x
  2. Step 2: Convert to fraction form
    60,734/84,927 = 84,927/x
  3. Step 3: Cross multiply
    60,734x = 84,927 × 84,927
  4. Step 4: Simplify right side
    60,734x = 7,212,595,329
  5. Step 5: Solve for x
    x = 7,212,595,329/60,734
  6. Step 6: Final answer
    x = 118,757.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.