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Finding the Third Proportional to 59,428.69 and 123,790.78

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Solution

The third proportional to 59,428.69 and 123,790.78 is: 257,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,428.69 : 123,790.78 = 123,790.78 : x
  2. Step 2: Convert to fraction form
    59,428.69/123,790.78 = 123,790.78/x
  3. Step 3: Cross multiply
    59,428.69x = 123,790.78 × 123,790.78
  4. Step 4: Simplify right side
    59,428.69x = 15,324,157,522.49
  5. Step 5: Solve for x
    x = 15,324,157,522.49/59,428.69
  6. Step 6: Final answer
    x = 257,857.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.