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Finding the Third Proportional to 59,742 and 91,496.25

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Solution

The third proportional to 59,742 and 91,496.25 is: 140,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,742 : 91,496.25 = 91,496.25 : x
  2. Step 2: Convert to fraction form
    59,742/91,496.25 = 91,496.25/x
  3. Step 3: Cross multiply
    59,742x = 91,496.25 × 91,496.25
  4. Step 4: Simplify right side
    59,742x = 8,371,563,764.06
  5. Step 5: Solve for x
    x = 8,371,563,764.06/59,742
  6. Step 6: Final answer
    x = 140,128.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.