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Finding the Third Proportional to 64,608.75 and 137,034

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Solution

The third proportional to 64,608.75 and 137,034 is: 290,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,608.75 : 137,034 = 137,034 : x
  2. Step 2: Convert to fraction form
    64,608.75/137,034 = 137,034/x
  3. Step 3: Cross multiply
    64,608.75x = 137,034 × 137,034
  4. Step 4: Simplify right side
    64,608.75x = 18,778,317,156
  5. Step 5: Solve for x
    x = 18,778,317,156/64,608.75
  6. Step 6: Final answer
    x = 290,646.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.