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Finding the Third Proportional to 58,709 and 89,187

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Solution

The third proportional to 58,709 and 89,187 is: 135,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,709 : 89,187 = 89,187 : x
  2. Step 2: Convert to fraction form
    58,709/89,187 = 89,187/x
  3. Step 3: Cross multiply
    58,709x = 89,187 × 89,187
  4. Step 4: Simplify right side
    58,709x = 7,954,320,969
  5. Step 5: Solve for x
    x = 7,954,320,969/58,709
  6. Step 6: Final answer
    x = 135,487.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.