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Finding the Third Proportional to 97,202 and 158,721

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Solution

The third proportional to 97,202 and 158,721 is: 259,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,202 : 158,721 = 158,721 : x
  2. Step 2: Convert to fraction form
    97,202/158,721 = 158,721/x
  3. Step 3: Cross multiply
    97,202x = 158,721 × 158,721
  4. Step 4: Simplify right side
    97,202x = 25,192,355,841
  5. Step 5: Solve for x
    x = 25,192,355,841/97,202
  6. Step 6: Final answer
    x = 259,175.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.