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Finding the Third Proportional to 54,447 and 85,559

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Solution

The third proportional to 54,447 and 85,559 is: 134,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,447 : 85,559 = 85,559 : x
  2. Step 2: Convert to fraction form
    54,447/85,559 = 85,559/x
  3. Step 3: Cross multiply
    54,447x = 85,559 × 85,559
  4. Step 4: Simplify right side
    54,447x = 7,320,342,481
  5. Step 5: Solve for x
    x = 7,320,342,481/54,447
  6. Step 6: Final answer
    x = 134,448.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.