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Finding the Third Proportional to 54,001 and 84,115.50

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Solution

The third proportional to 54,001 and 84,115.50 is: 131,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,001 : 84,115.50 = 84,115.50 : x
  2. Step 2: Convert to fraction form
    54,001/84,115.50 = 84,115.50/x
  3. Step 3: Cross multiply
    54,001x = 84,115.50 × 84,115.50
  4. Step 4: Simplify right side
    54,001x = 7,075,417,340.25
  5. Step 5: Solve for x
    x = 7,075,417,340.25/54,001
  6. Step 6: Final answer
    x = 131,023.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.