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Finding the Third Proportional to 64,137 and 137,613.75

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Solution

The third proportional to 64,137 and 137,613.75 is: 295,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,137 : 137,613.75 = 137,613.75 : x
  2. Step 2: Convert to fraction form
    64,137/137,613.75 = 137,613.75/x
  3. Step 3: Cross multiply
    64,137x = 137,613.75 × 137,613.75
  4. Step 4: Simplify right side
    64,137x = 18,937,544,189.06
  5. Step 5: Solve for x
    x = 18,937,544,189.06/64,137
  6. Step 6: Final answer
    x = 295,267.07

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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.