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Finding the Third Proportional to 59,285 and 139,946

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Solution

The third proportional to 59,285 and 139,946 is: 330,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,285 : 139,946 = 139,946 : x
  2. Step 2: Convert to fraction form
    59,285/139,946 = 139,946/x
  3. Step 3: Cross multiply
    59,285x = 139,946 × 139,946
  4. Step 4: Simplify right side
    59,285x = 19,584,882,916
  5. Step 5: Solve for x
    x = 19,584,882,916/59,285
  6. Step 6: Final answer
    x = 330,351.40

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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.