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Finding the Third Proportional to 64,012.78 and 92,205.84

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Solution

The third proportional to 64,012.78 and 92,205.84 is: 132,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,012.78 : 92,205.84 = 92,205.84 : x
  2. Step 2: Convert to fraction form
    64,012.78/92,205.84 = 92,205.84/x
  3. Step 3: Cross multiply
    64,012.78x = 92,205.84 × 92,205.84
  4. Step 4: Simplify right side
    64,012.78x = 8,501,917,621.65
  5. Step 5: Solve for x
    x = 8,501,917,621.65/64,012.78
  6. Step 6: Final answer
    x = 132,815.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.