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Finding the Third Proportional to 54,114 and 119,907.75

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Solution

The third proportional to 54,114 and 119,907.75 is: 265,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,114 : 119,907.75 = 119,907.75 : x
  2. Step 2: Convert to fraction form
    54,114/119,907.75 = 119,907.75/x
  3. Step 3: Cross multiply
    54,114x = 119,907.75 × 119,907.75
  4. Step 4: Simplify right side
    54,114x = 14,377,868,510.06
  5. Step 5: Solve for x
    x = 14,377,868,510.06/54,114
  6. Step 6: Final answer
    x = 265,695.91

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.