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Finding the Third Proportional to 70,013 and 106,314

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Solution

The third proportional to 70,013 and 106,314 is: 161,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,013 : 106,314 = 106,314 : x
  2. Step 2: Convert to fraction form
    70,013/106,314 = 106,314/x
  3. Step 3: Cross multiply
    70,013x = 106,314 × 106,314
  4. Step 4: Simplify right side
    70,013x = 11,302,666,596
  5. Step 5: Solve for x
    x = 11,302,666,596/70,013
  6. Step 6: Final answer
    x = 161,436.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.