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Finding the Third Proportional to 64,212.75 and 102,264.75

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Solution

The third proportional to 64,212.75 and 102,264.75 is: 162,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,212.75 : 102,264.75 = 102,264.75 : x
  2. Step 2: Convert to fraction form
    64,212.75/102,264.75 = 102,264.75/x
  3. Step 3: Cross multiply
    64,212.75x = 102,264.75 × 102,264.75
  4. Step 4: Simplify right side
    64,212.75x = 10,458,079,092.56
  5. Step 5: Solve for x
    x = 10,458,079,092.56/64,212.75
  6. Step 6: Final answer
    x = 162,866.08

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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.