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Finding the Third Proportional to 54,048.94 and 85,883.63

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Solution

The third proportional to 54,048.94 and 85,883.63 is: 136,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,048.94 : 85,883.63 = 85,883.63 : x
  2. Step 2: Convert to fraction form
    54,048.94/85,883.63 = 85,883.63/x
  3. Step 3: Cross multiply
    54,048.94x = 85,883.63 × 85,883.63
  4. Step 4: Simplify right side
    54,048.94x = 7,375,997,043.14
  5. Step 5: Solve for x
    x = 7,375,997,043.14/54,048.94
  6. Step 6: Final answer
    x = 136,468.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.