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Finding the Third Proportional to 62,133 and 83,910

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Solution

The third proportional to 62,133 and 83,910 is: 113,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,133 : 83,910 = 83,910 : x
  2. Step 2: Convert to fraction form
    62,133/83,910 = 83,910/x
  3. Step 3: Cross multiply
    62,133x = 83,910 × 83,910
  4. Step 4: Simplify right side
    62,133x = 7,040,888,100
  5. Step 5: Solve for x
    x = 7,040,888,100/62,133
  6. Step 6: Final answer
    x = 113,319.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.