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Finding the Third Proportional to 64,672.41 and 96,610.31

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Solution

The third proportional to 64,672.41 and 96,610.31 is: 144,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,672.41 : 96,610.31 = 96,610.31 : x
  2. Step 2: Convert to fraction form
    64,672.41/96,610.31 = 96,610.31/x
  3. Step 3: Cross multiply
    64,672.41x = 96,610.31 × 96,610.31
  4. Step 4: Simplify right side
    64,672.41x = 9,333,552,481.35
  5. Step 5: Solve for x
    x = 9,333,552,481.35/64,672.41
  6. Step 6: Final answer
    x = 144,320.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.