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Finding the Third Proportional to 59,186.50 and 139,697

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Solution

The third proportional to 59,186.50 and 139,697 is: 329,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,186.50 : 139,697 = 139,697 : x
  2. Step 2: Convert to fraction form
    59,186.50/139,697 = 139,697/x
  3. Step 3: Cross multiply
    59,186.50x = 139,697 × 139,697
  4. Step 4: Simplify right side
    59,186.50x = 19,515,251,809
  5. Step 5: Solve for x
    x = 19,515,251,809/59,186.50
  6. Step 6: Final answer
    x = 329,724.71

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.