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Finding the Third Proportional to 64,822.75 and 105,848.75

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Solution

The third proportional to 64,822.75 and 105,848.75 is: 172,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.75 : 105,848.75 = 105,848.75 : x
  2. Step 2: Convert to fraction form
    64,822.75/105,848.75 = 105,848.75/x
  3. Step 3: Cross multiply
    64,822.75x = 105,848.75 × 105,848.75
  4. Step 4: Simplify right side
    64,822.75x = 11,203,957,876.56
  5. Step 5: Solve for x
    x = 11,203,957,876.56/64,822.75
  6. Step 6: Final answer
    x = 172,839.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.