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Finding the Third Proportional to 62,309.25 and 133,366.50

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Solution

The third proportional to 62,309.25 and 133,366.50 is: 285,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,309.25 : 133,366.50 = 133,366.50 : x
  2. Step 2: Convert to fraction form
    62,309.25/133,366.50 = 133,366.50/x
  3. Step 3: Cross multiply
    62,309.25x = 133,366.50 × 133,366.50
  4. Step 4: Simplify right side
    62,309.25x = 17,786,623,322.25
  5. Step 5: Solve for x
    x = 17,786,623,322.25/62,309.25
  6. Step 6: Final answer
    x = 285,457.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.