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Finding the Third Proportional to 101,598 and 158,213

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Solution

The third proportional to 101,598 and 158,213 is: 246,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,598 : 158,213 = 158,213 : x
  2. Step 2: Convert to fraction form
    101,598/158,213 = 158,213/x
  3. Step 3: Cross multiply
    101,598x = 158,213 × 158,213
  4. Step 4: Simplify right side
    101,598x = 25,031,353,369
  5. Step 5: Solve for x
    x = 25,031,353,369/101,598
  6. Step 6: Final answer
    x = 246,376.44

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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.