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Finding the Third Proportional to 73,557 and 112,704.75

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Solution

The third proportional to 73,557 and 112,704.75 is: 172,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,557 : 112,704.75 = 112,704.75 : x
  2. Step 2: Convert to fraction form
    73,557/112,704.75 = 112,704.75/x
  3. Step 3: Cross multiply
    73,557x = 112,704.75 × 112,704.75
  4. Step 4: Simplify right side
    73,557x = 12,702,360,672.56
  5. Step 5: Solve for x
    x = 12,702,360,672.56/73,557
  6. Step 6: Final answer
    x = 172,687.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.