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Finding the Third Proportional to 31,144.50 and 70,085.25

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Solution

The third proportional to 31,144.50 and 70,085.25 is: 157,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.50 : 70,085.25 = 70,085.25 : x
  2. Step 2: Convert to fraction form
    31,144.50/70,085.25 = 70,085.25/x
  3. Step 3: Cross multiply
    31,144.50x = 70,085.25 × 70,085.25
  4. Step 4: Simplify right side
    31,144.50x = 4,911,942,267.56
  5. Step 5: Solve for x
    x = 4,911,942,267.56/31,144.50
  6. Step 6: Final answer
    x = 157,714.60

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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.