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Finding the Third Proportional to 54,705.38 and 113,572.13

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Solution

The third proportional to 54,705.38 and 113,572.13 is: 235,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,705.38 : 113,572.13 = 113,572.13 : x
  2. Step 2: Convert to fraction form
    54,705.38/113,572.13 = 113,572.13/x
  3. Step 3: Cross multiply
    54,705.38x = 113,572.13 × 113,572.13
  4. Step 4: Simplify right side
    54,705.38x = 12,898,627,577.02
  5. Step 5: Solve for x
    x = 12,898,627,577.02/54,705.38
  6. Step 6: Final answer
    x = 235,783.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.