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Finding the Third Proportional to 59,808.75 and 123,819.75

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Solution

The third proportional to 59,808.75 and 123,819.75 is: 256,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,808.75 : 123,819.75 = 123,819.75 : x
  2. Step 2: Convert to fraction form
    59,808.75/123,819.75 = 123,819.75/x
  3. Step 3: Cross multiply
    59,808.75x = 123,819.75 × 123,819.75
  4. Step 4: Simplify right side
    59,808.75x = 15,331,330,490.06
  5. Step 5: Solve for x
    x = 15,331,330,490.06/59,808.75
  6. Step 6: Final answer
    x = 256,339.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.