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Finding the Third Proportional to 64,713.09 and 151,143.05

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Solution

The third proportional to 64,713.09 and 151,143.05 is: 353,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,713.09 : 151,143.05 = 151,143.05 : x
  2. Step 2: Convert to fraction form
    64,713.09/151,143.05 = 151,143.05/x
  3. Step 3: Cross multiply
    64,713.09x = 151,143.05 × 151,143.05
  4. Step 4: Simplify right side
    64,713.09x = 22,844,220,618.66
  5. Step 5: Solve for x
    x = 22,844,220,618.66/64,713.09
  6. Step 6: Final answer
    x = 353,007.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.