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Finding the Third Proportional to 101,803 and 158,521

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Solution

The third proportional to 101,803 and 158,521 is: 246,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,803 : 158,521 = 158,521 : x
  2. Step 2: Convert to fraction form
    101,803/158,521 = 158,521/x
  3. Step 3: Cross multiply
    101,803x = 158,521 × 158,521
  4. Step 4: Simplify right side
    101,803x = 25,128,907,441
  5. Step 5: Solve for x
    x = 25,128,907,441/101,803
  6. Step 6: Final answer
    x = 246,838.57

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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.