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Finding the Third Proportional to 53,179.59 and 113,398.59

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Solution

The third proportional to 53,179.59 and 113,398.59 is: 241,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,179.59 : 113,398.59 = 113,398.59 : x
  2. Step 2: Convert to fraction form
    53,179.59/113,398.59 = 113,398.59/x
  3. Step 3: Cross multiply
    53,179.59x = 113,398.59 × 113,398.59
  4. Step 4: Simplify right side
    53,179.59x = 12,859,241,064.48
  5. Step 5: Solve for x
    x = 12,859,241,064.48/53,179.59
  6. Step 6: Final answer
    x = 241,807.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.