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Finding the Third Proportional to 56,928 and 87,957

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Solution

The third proportional to 56,928 and 87,957 is: 135,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,928 : 87,957 = 87,957 : x
  2. Step 2: Convert to fraction form
    56,928/87,957 = 87,957/x
  3. Step 3: Cross multiply
    56,928x = 87,957 × 87,957
  4. Step 4: Simplify right side
    56,928x = 7,736,433,849
  5. Step 5: Solve for x
    x = 7,736,433,849/56,928
  6. Step 6: Final answer
    x = 135,898.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.