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Finding the Third Proportional to 70,416 and 150,084

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Solution

The third proportional to 70,416 and 150,084 is: 319,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416 : 150,084 = 150,084 : x
  2. Step 2: Convert to fraction form
    70,416/150,084 = 150,084/x
  3. Step 3: Cross multiply
    70,416x = 150,084 × 150,084
  4. Step 4: Simplify right side
    70,416x = 22,525,207,056
  5. Step 5: Solve for x
    x = 22,525,207,056/70,416
  6. Step 6: Final answer
    x = 319,887.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.