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Finding the Third Proportional to 83,075 and 125,603

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Solution

The third proportional to 83,075 and 125,603 is: 189,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075 : 125,603 = 125,603 : x
  2. Step 2: Convert to fraction form
    83,075/125,603 = 125,603/x
  3. Step 3: Cross multiply
    83,075x = 125,603 × 125,603
  4. Step 4: Simplify right side
    83,075x = 15,776,113,609
  5. Step 5: Solve for x
    x = 15,776,113,609/83,075
  6. Step 6: Final answer
    x = 189,902.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.