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Finding the Third Proportional to 56,947 and 83,225

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Solution

The third proportional to 56,947 and 83,225 is: 121,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,947 : 83,225 = 83,225 : x
  2. Step 2: Convert to fraction form
    56,947/83,225 = 83,225/x
  3. Step 3: Cross multiply
    56,947x = 83,225 × 83,225
  4. Step 4: Simplify right side
    56,947x = 6,926,400,625
  5. Step 5: Solve for x
    x = 6,926,400,625/56,947
  6. Step 6: Final answer
    x = 121,628.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.