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Finding the Third Proportional to 57,233 and 87,557

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Solution

The third proportional to 57,233 and 87,557 is: 133,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,233 : 87,557 = 87,557 : x
  2. Step 2: Convert to fraction form
    57,233/87,557 = 87,557/x
  3. Step 3: Cross multiply
    57,233x = 87,557 × 87,557
  4. Step 4: Simplify right side
    57,233x = 7,666,228,249
  5. Step 5: Solve for x
    x = 7,666,228,249/57,233
  6. Step 6: Final answer
    x = 133,947.69

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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.