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Finding the Third Proportional to 56,533 and 83,113

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Solution

The third proportional to 56,533 and 83,113 is: 122,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,533 : 83,113 = 83,113 : x
  2. Step 2: Convert to fraction form
    56,533/83,113 = 83,113/x
  3. Step 3: Cross multiply
    56,533x = 83,113 × 83,113
  4. Step 4: Simplify right side
    56,533x = 6,907,770,769
  5. Step 5: Solve for x
    x = 6,907,770,769/56,533
  6. Step 6: Final answer
    x = 122,190.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.