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Finding the Third Proportional to 54,254 and 126,755

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Solution

The third proportional to 54,254 and 126,755 is: 296,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,254 : 126,755 = 126,755 : x
  2. Step 2: Convert to fraction form
    54,254/126,755 = 126,755/x
  3. Step 3: Cross multiply
    54,254x = 126,755 × 126,755
  4. Step 4: Simplify right side
    54,254x = 16,066,830,025
  5. Step 5: Solve for x
    x = 16,066,830,025/54,254
  6. Step 6: Final answer
    x = 296,140.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.