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Finding the Third Proportional to 62,299.50 and 132,754.13

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Solution

The third proportional to 62,299.50 and 132,754.13 is: 282,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,299.50 : 132,754.13 = 132,754.13 : x
  2. Step 2: Convert to fraction form
    62,299.50/132,754.13 = 132,754.13/x
  3. Step 3: Cross multiply
    62,299.50x = 132,754.13 × 132,754.13
  4. Step 4: Simplify right side
    62,299.50x = 17,623,657,704.52
  5. Step 5: Solve for x
    x = 17,623,657,704.52/62,299.50
  6. Step 6: Final answer
    x = 282,886.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.