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Finding the Third Proportional to 53,897.91 and 125,889.19

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Solution

The third proportional to 53,897.91 and 125,889.19 is: 294,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,897.91 : 125,889.19 = 125,889.19 : x
  2. Step 2: Convert to fraction form
    53,897.91/125,889.19 = 125,889.19/x
  3. Step 3: Cross multiply
    53,897.91x = 125,889.19 × 125,889.19
  4. Step 4: Simplify right side
    53,897.91x = 15,848,087,529.41
  5. Step 5: Solve for x
    x = 15,848,087,529.41/53,897.91
  6. Step 6: Final answer
    x = 294,039.02

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.