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Finding the Third Proportional to 71,706 and 155,982

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Solution

The third proportional to 71,706 and 155,982 is: 339,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706 : 155,982 = 155,982 : x
  2. Step 2: Convert to fraction form
    71,706/155,982 = 155,982/x
  3. Step 3: Cross multiply
    71,706x = 155,982 × 155,982
  4. Step 4: Simplify right side
    71,706x = 24,330,384,324
  5. Step 5: Solve for x
    x = 24,330,384,324/71,706
  6. Step 6: Final answer
    x = 339,307.51

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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.