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Finding the Third Proportional to 70,014 and 106,482

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Solution

The third proportional to 70,014 and 106,482 is: 161,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,014 : 106,482 = 106,482 : x
  2. Step 2: Convert to fraction form
    70,014/106,482 = 106,482/x
  3. Step 3: Cross multiply
    70,014x = 106,482 × 106,482
  4. Step 4: Simplify right side
    70,014x = 11,338,416,324
  5. Step 5: Solve for x
    x = 11,338,416,324/70,014
  6. Step 6: Final answer
    x = 161,944.99

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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.