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Finding the Third Proportional to 59,719.50 and 119,439

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Solution

The third proportional to 59,719.50 and 119,439 is: 238,878

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,719.50 : 119,439 = 119,439 : x
  2. Step 2: Convert to fraction form
    59,719.50/119,439 = 119,439/x
  3. Step 3: Cross multiply
    59,719.50x = 119,439 × 119,439
  4. Step 4: Simplify right side
    59,719.50x = 14,265,674,721
  5. Step 5: Solve for x
    x = 14,265,674,721/59,719.50
  6. Step 6: Final answer
    x = 238,878

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.