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Finding the Third Proportional to 101,596.50 and 158,212.13

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Solution

The third proportional to 101,596.50 and 158,212.13 is: 246,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,596.50 : 158,212.13 = 158,212.13 : x
  2. Step 2: Convert to fraction form
    101,596.50/158,212.13 = 158,212.13/x
  3. Step 3: Cross multiply
    101,596.50x = 158,212.13 × 158,212.13
  4. Step 4: Simplify right side
    101,596.50x = 25,031,076,497.02
  5. Step 5: Solve for x
    x = 25,031,076,497.02/101,596.50
  6. Step 6: Final answer
    x = 246,377.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.