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Finding the Third Proportional to 53,592.89 and 114,310.62

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Solution

The third proportional to 53,592.89 and 114,310.62 is: 243,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,592.89 : 114,310.62 = 114,310.62 : x
  2. Step 2: Convert to fraction form
    53,592.89/114,310.62 = 114,310.62/x
  3. Step 3: Cross multiply
    53,592.89x = 114,310.62 × 114,310.62
  4. Step 4: Simplify right side
    53,592.89x = 13,066,917,201.79
  5. Step 5: Solve for x
    x = 13,066,917,201.79/53,592.89
  6. Step 6: Final answer
    x = 243,818.11

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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.