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Finding the Third Proportional to 53,513.16 and 126,777.66

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Solution

The third proportional to 53,513.16 and 126,777.66 is: 300,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,513.16 : 126,777.66 = 126,777.66 : x
  2. Step 2: Convert to fraction form
    53,513.16/126,777.66 = 126,777.66/x
  3. Step 3: Cross multiply
    53,513.16x = 126,777.66 × 126,777.66
  4. Step 4: Simplify right side
    53,513.16x = 16,072,574,124.24
  5. Step 5: Solve for x
    x = 16,072,574,124.24/53,513.16
  6. Step 6: Final answer
    x = 300,348.09

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.