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Finding the Third Proportional to 53,019.56 and 114,340.13

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Solution

The third proportional to 53,019.56 and 114,340.13 is: 246,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,019.56 : 114,340.13 = 114,340.13 : x
  2. Step 2: Convert to fraction form
    53,019.56/114,340.13 = 114,340.13/x
  3. Step 3: Cross multiply
    53,019.56x = 114,340.13 × 114,340.13
  4. Step 4: Simplify right side
    53,019.56x = 13,073,664,185.02
  5. Step 5: Solve for x
    x = 13,073,664,185.02/53,019.56
  6. Step 6: Final answer
    x = 246,581.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.