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Finding the Third Proportional to 71,075 and 154,677

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Solution

The third proportional to 71,075 and 154,677 is: 336,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,075 : 154,677 = 154,677 : x
  2. Step 2: Convert to fraction form
    71,075/154,677 = 154,677/x
  3. Step 3: Cross multiply
    71,075x = 154,677 × 154,677
  4. Step 4: Simplify right side
    71,075x = 23,924,974,329
  5. Step 5: Solve for x
    x = 23,924,974,329/71,075
  6. Step 6: Final answer
    x = 336,615.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.