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Finding the Third Proportional to 59,286 and 139,948

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Solution

The third proportional to 59,286 and 139,948 is: 330,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,286 : 139,948 = 139,948 : x
  2. Step 2: Convert to fraction form
    59,286/139,948 = 139,948/x
  3. Step 3: Cross multiply
    59,286x = 139,948 × 139,948
  4. Step 4: Simplify right side
    59,286x = 19,585,442,704
  5. Step 5: Solve for x
    x = 19,585,442,704/59,286
  6. Step 6: Final answer
    x = 330,355.27

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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.