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Finding the Third Proportional to 62,100 and 87,786

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Solution

The third proportional to 62,100 and 87,786 is: 124,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,100 : 87,786 = 87,786 : x
  2. Step 2: Convert to fraction form
    62,100/87,786 = 87,786/x
  3. Step 3: Cross multiply
    62,100x = 87,786 × 87,786
  4. Step 4: Simplify right side
    62,100x = 7,706,381,796
  5. Step 5: Solve for x
    x = 7,706,381,796/62,100
  6. Step 6: Final answer
    x = 124,096.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.