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Finding the Third Proportional to 64,015.31 and 137,837.63

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Solution

The third proportional to 64,015.31 and 137,837.63 is: 296,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,015.31 : 137,837.63 = 137,837.63 : x
  2. Step 2: Convert to fraction form
    64,015.31/137,837.63 = 137,837.63/x
  3. Step 3: Cross multiply
    64,015.31x = 137,837.63 × 137,837.63
  4. Step 4: Simplify right side
    64,015.31x = 18,999,210,865.64
  5. Step 5: Solve for x
    x = 18,999,210,865.64/64,015.31
  6. Step 6: Final answer
    x = 296,791.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.