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Finding the Third Proportional to 74,817 and 124,682

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Solution

The third proportional to 74,817 and 124,682 is: 207,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,817 : 124,682 = 124,682 : x
  2. Step 2: Convert to fraction form
    74,817/124,682 = 124,682/x
  3. Step 3: Cross multiply
    74,817x = 124,682 × 124,682
  4. Step 4: Simplify right side
    74,817x = 15,545,601,124
  5. Step 5: Solve for x
    x = 15,545,601,124/74,817
  6. Step 6: Final answer
    x = 207,781.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.