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Finding the Third Proportional to 64,400.06 and 132,850.13

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Solution

The third proportional to 64,400.06 and 132,850.13 is: 274,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,400.06 : 132,850.13 = 132,850.13 : x
  2. Step 2: Convert to fraction form
    64,400.06/132,850.13 = 132,850.13/x
  3. Step 3: Cross multiply
    64,400.06x = 132,850.13 × 132,850.13
  4. Step 4: Simplify right side
    64,400.06x = 17,649,155,712.52
  5. Step 5: Solve for x
    x = 17,649,155,712.52/64,400.06
  6. Step 6: Final answer
    x = 274,054.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.