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Finding the Third Proportional to 54,842 and 120,157

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Solution

The third proportional to 54,842 and 120,157 is: 263,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842 : 120,157 = 120,157 : x
  2. Step 2: Convert to fraction form
    54,842/120,157 = 120,157/x
  3. Step 3: Cross multiply
    54,842x = 120,157 × 120,157
  4. Step 4: Simplify right side
    54,842x = 14,437,704,649
  5. Step 5: Solve for x
    x = 14,437,704,649/54,842
  6. Step 6: Final answer
    x = 263,260.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.