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Finding the Third Proportional to 59,294 and 139,966

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Solution

The third proportional to 59,294 and 139,966 is: 330,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,294 : 139,966 = 139,966 : x
  2. Step 2: Convert to fraction form
    59,294/139,966 = 139,966/x
  3. Step 3: Cross multiply
    59,294x = 139,966 × 139,966
  4. Step 4: Simplify right side
    59,294x = 19,590,481,156
  5. Step 5: Solve for x
    x = 19,590,481,156/59,294
  6. Step 6: Final answer
    x = 330,395.68

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Why These Related Problems?

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