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Finding the Third Proportional to 97,189 and 158,700

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Solution

The third proportional to 97,189 and 158,700 is: 259,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,189 : 158,700 = 158,700 : x
  2. Step 2: Convert to fraction form
    97,189/158,700 = 158,700/x
  3. Step 3: Cross multiply
    97,189x = 158,700 × 158,700
  4. Step 4: Simplify right side
    97,189x = 25,185,690,000
  5. Step 5: Solve for x
    x = 25,185,690,000/97,189
  6. Step 6: Final answer
    x = 259,141.36

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