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Finding the Third Proportional to 31,230 and 70,299

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Solution

The third proportional to 31,230 and 70,299 is: 158,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230 : 70,299 = 70,299 : x
  2. Step 2: Convert to fraction form
    31,230/70,299 = 70,299/x
  3. Step 3: Cross multiply
    31,230x = 70,299 × 70,299
  4. Step 4: Simplify right side
    31,230x = 4,941,949,401
  5. Step 5: Solve for x
    x = 4,941,949,401/31,230
  6. Step 6: Final answer
    x = 158,243.66

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.