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Finding the Third Proportional to 53,458.69 and 124,305.00

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Solution

The third proportional to 53,458.69 and 124,305.00 is: 289,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,458.69 : 124,305.00 = 124,305.00 : x
  2. Step 2: Convert to fraction form
    53,458.69/124,305.00 = 124,305.00/x
  3. Step 3: Cross multiply
    53,458.69x = 124,305.00 × 124,305.00
  4. Step 4: Simplify right side
    53,458.69x = 15,451,733,207.09
  5. Step 5: Solve for x
    x = 15,451,733,207.09/53,458.69
  6. Step 6: Final answer
    x = 289,040.60

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.