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Finding the Third Proportional to 41,159.25 and 97,062.75

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Solution

The third proportional to 41,159.25 and 97,062.75 is: 228,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,159.25 : 97,062.75 = 97,062.75 : x
  2. Step 2: Convert to fraction form
    41,159.25/97,062.75 = 97,062.75/x
  3. Step 3: Cross multiply
    41,159.25x = 97,062.75 × 97,062.75
  4. Step 4: Simplify right side
    41,159.25x = 9,421,177,437.56
  5. Step 5: Solve for x
    x = 9,421,177,437.56/41,159.25
  6. Step 6: Final answer
    x = 228,895.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.