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Finding the Third Proportional to 58,238 and 89,055

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Solution

The third proportional to 58,238 and 89,055 is: 136,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,238 : 89,055 = 89,055 : x
  2. Step 2: Convert to fraction form
    58,238/89,055 = 89,055/x
  3. Step 3: Cross multiply
    58,238x = 89,055 × 89,055
  4. Step 4: Simplify right side
    58,238x = 7,930,793,025
  5. Step 5: Solve for x
    x = 7,930,793,025/58,238
  6. Step 6: Final answer
    x = 136,179.01

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.