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Finding the Third Proportional to 53,353.69 and 116,119.83

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Solution

The third proportional to 53,353.69 and 116,119.83 is: 252,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,353.69 : 116,119.83 = 116,119.83 : x
  2. Step 2: Convert to fraction form
    53,353.69/116,119.83 = 116,119.83/x
  3. Step 3: Cross multiply
    53,353.69x = 116,119.83 × 116,119.83
  4. Step 4: Simplify right side
    53,353.69x = 13,483,814,483.78
  5. Step 5: Solve for x
    x = 13,483,814,483.78/53,353.69
  6. Step 6: Final answer
    x = 252,725.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.