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Finding the Third Proportional to 59,268 and 139,900

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Solution

The third proportional to 59,268 and 139,900 is: 330,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,268 : 139,900 = 139,900 : x
  2. Step 2: Convert to fraction form
    59,268/139,900 = 139,900/x
  3. Step 3: Cross multiply
    59,268x = 139,900 × 139,900
  4. Step 4: Simplify right side
    59,268x = 19,572,010,000
  5. Step 5: Solve for x
    x = 19,572,010,000/59,268
  6. Step 6: Final answer
    x = 330,228.96

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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.