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Finding the Third Proportional to 58,702 and 89,321

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Solution

The third proportional to 58,702 and 89,321 is: 135,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,702 : 89,321 = 89,321 : x
  2. Step 2: Convert to fraction form
    58,702/89,321 = 89,321/x
  3. Step 3: Cross multiply
    58,702x = 89,321 × 89,321
  4. Step 4: Simplify right side
    58,702x = 7,978,241,041
  5. Step 5: Solve for x
    x = 7,978,241,041/58,702
  6. Step 6: Final answer
    x = 135,910.89

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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.