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Finding the Third Proportional to 97,222 and 158,754

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Solution

The third proportional to 97,222 and 158,754 is: 259,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,222 : 158,754 = 158,754 : x
  2. Step 2: Convert to fraction form
    97,222/158,754 = 158,754/x
  3. Step 3: Cross multiply
    97,222x = 158,754 × 158,754
  4. Step 4: Simplify right side
    97,222x = 25,202,832,516
  5. Step 5: Solve for x
    x = 25,202,832,516/97,222
  6. Step 6: Final answer
    x = 259,229.73

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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.