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Finding the Third Proportional to 58,394 and 89,049

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Solution

The third proportional to 58,394 and 89,049 is: 135,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,394 : 89,049 = 89,049 : x
  2. Step 2: Convert to fraction form
    58,394/89,049 = 89,049/x
  3. Step 3: Cross multiply
    58,394x = 89,049 × 89,049
  4. Step 4: Simplify right side
    58,394x = 7,929,724,401
  5. Step 5: Solve for x
    x = 7,929,724,401/58,394
  6. Step 6: Final answer
    x = 135,796.90

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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.