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Finding the Third Proportional to 59,270 and 139,913

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Solution

The third proportional to 59,270 and 139,913 is: 330,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,270 : 139,913 = 139,913 : x
  2. Step 2: Convert to fraction form
    59,270/139,913 = 139,913/x
  3. Step 3: Cross multiply
    59,270x = 139,913 × 139,913
  4. Step 4: Simplify right side
    59,270x = 19,575,647,569
  5. Step 5: Solve for x
    x = 19,575,647,569/59,270
  6. Step 6: Final answer
    x = 330,279.19

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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.