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Finding the Third Proportional to 37,158 and 58,203

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Solution

The third proportional to 37,158 and 58,203 is: 91,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,158 : 58,203 = 58,203 : x
  2. Step 2: Convert to fraction form
    37,158/58,203 = 58,203/x
  3. Step 3: Cross multiply
    37,158x = 58,203 × 58,203
  4. Step 4: Simplify right side
    37,158x = 3,387,589,209
  5. Step 5: Solve for x
    x = 3,387,589,209/37,158
  6. Step 6: Final answer
    x = 91,167.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.