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Finding the Third Proportional to 71,935.50 and 146,727

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Solution

The third proportional to 71,935.50 and 146,727 is: 299,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,935.50 : 146,727 = 146,727 : x
  2. Step 2: Convert to fraction form
    71,935.50/146,727 = 146,727/x
  3. Step 3: Cross multiply
    71,935.50x = 146,727 × 146,727
  4. Step 4: Simplify right side
    71,935.50x = 21,528,812,529
  5. Step 5: Solve for x
    x = 21,528,812,529/71,935.50
  6. Step 6: Final answer
    x = 299,279.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.