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Finding the Third Proportional to 83,012 and 124,603

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Solution

The third proportional to 83,012 and 124,603 is: 187,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,012 : 124,603 = 124,603 : x
  2. Step 2: Convert to fraction form
    83,012/124,603 = 124,603/x
  3. Step 3: Cross multiply
    83,012x = 124,603 × 124,603
  4. Step 4: Simplify right side
    83,012x = 15,525,907,609
  5. Step 5: Solve for x
    x = 15,525,907,609/83,012
  6. Step 6: Final answer
    x = 187,032.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.