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Finding the Third Proportional to 64,653.19 and 137,917.69

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Solution

The third proportional to 64,653.19 and 137,917.69 is: 294,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,653.19 : 137,917.69 = 137,917.69 : x
  2. Step 2: Convert to fraction form
    64,653.19/137,917.69 = 137,917.69/x
  3. Step 3: Cross multiply
    64,653.19x = 137,917.69 × 137,917.69
  4. Step 4: Simplify right side
    64,653.19x = 19,021,288,525.35
  5. Step 5: Solve for x
    x = 19,021,288,525.35/64,653.19
  6. Step 6: Final answer
    x = 294,204.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.