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Finding the Third Proportional to 56,928 and 90,944

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Solution

The third proportional to 56,928 and 90,944 is: 145,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,928 : 90,944 = 90,944 : x
  2. Step 2: Convert to fraction form
    56,928/90,944 = 90,944/x
  3. Step 3: Cross multiply
    56,928x = 90,944 × 90,944
  4. Step 4: Simplify right side
    56,928x = 8,270,811,136
  5. Step 5: Solve for x
    x = 8,270,811,136/56,928
  6. Step 6: Final answer
    x = 145,285.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.