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Finding the Third Proportional to 58,699 and 89,171

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Solution

The third proportional to 58,699 and 89,171 is: 135,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,699 : 89,171 = 89,171 : x
  2. Step 2: Convert to fraction form
    58,699/89,171 = 89,171/x
  3. Step 3: Cross multiply
    58,699x = 89,171 × 89,171
  4. Step 4: Simplify right side
    58,699x = 7,951,467,241
  5. Step 5: Solve for x
    x = 7,951,467,241/58,699
  6. Step 6: Final answer
    x = 135,461.72

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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.