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Finding the Third Proportional to 97,188 and 158,699

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Solution

The third proportional to 97,188 and 158,699 is: 259,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,188 : 158,699 = 158,699 : x
  2. Step 2: Convert to fraction form
    97,188/158,699 = 158,699/x
  3. Step 3: Cross multiply
    97,188x = 158,699 × 158,699
  4. Step 4: Simplify right side
    97,188x = 25,185,372,601
  5. Step 5: Solve for x
    x = 25,185,372,601/97,188
  6. Step 6: Final answer
    x = 259,140.76

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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.