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Finding the Third Proportional to 53,691.19 and 121,305.09

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Solution

The third proportional to 53,691.19 and 121,305.09 is: 274,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,691.19 : 121,305.09 = 121,305.09 : x
  2. Step 2: Convert to fraction form
    53,691.19/121,305.09 = 121,305.09/x
  3. Step 3: Cross multiply
    53,691.19x = 121,305.09 × 121,305.09
  4. Step 4: Simplify right side
    53,691.19x = 14,714,925,769.70
  5. Step 5: Solve for x
    x = 14,714,925,769.70/53,691.19
  6. Step 6: Final answer
    x = 274,065.94

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.