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Finding the Third Proportional to 64,945.13 and 101,518.31

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Solution

The third proportional to 64,945.13 and 101,518.31 is: 158,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,945.13 : 101,518.31 = 101,518.31 : x
  2. Step 2: Convert to fraction form
    64,945.13/101,518.31 = 101,518.31/x
  3. Step 3: Cross multiply
    64,945.13x = 101,518.31 × 101,518.31
  4. Step 4: Simplify right side
    64,945.13x = 10,305,967,772.85
  5. Step 5: Solve for x
    x = 10,305,967,772.85/64,945.13
  6. Step 6: Final answer
    x = 158,687.32

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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.