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Finding the Third Proportional to 59,107.50 and 90,849

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Solution

The third proportional to 59,107.50 and 90,849 is: 139,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,107.50 : 90,849 = 90,849 : x
  2. Step 2: Convert to fraction form
    59,107.50/90,849 = 90,849/x
  3. Step 3: Cross multiply
    59,107.50x = 90,849 × 90,849
  4. Step 4: Simplify right side
    59,107.50x = 8,253,540,801
  5. Step 5: Solve for x
    x = 8,253,540,801/59,107.50
  6. Step 6: Final answer
    x = 139,636.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.