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Finding the Third Proportional to 62,949.50 and 135,952.50

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Solution

The third proportional to 62,949.50 and 135,952.50 is: 293,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,949.50 : 135,952.50 = 135,952.50 : x
  2. Step 2: Convert to fraction form
    62,949.50/135,952.50 = 135,952.50/x
  3. Step 3: Cross multiply
    62,949.50x = 135,952.50 × 135,952.50
  4. Step 4: Simplify right side
    62,949.50x = 18,483,082,256.25
  5. Step 5: Solve for x
    x = 18,483,082,256.25/62,949.50
  6. Step 6: Final answer
    x = 293,617.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.