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Finding the Third Proportional to 64,176.75 and 136,665.75

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Solution

The third proportional to 64,176.75 and 136,665.75 is: 291,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,176.75 : 136,665.75 = 136,665.75 : x
  2. Step 2: Convert to fraction form
    64,176.75/136,665.75 = 136,665.75/x
  3. Step 3: Cross multiply
    64,176.75x = 136,665.75 × 136,665.75
  4. Step 4: Simplify right side
    64,176.75x = 18,677,527,223.06
  5. Step 5: Solve for x
    x = 18,677,527,223.06/64,176.75
  6. Step 6: Final answer
    x = 291,032.61

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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.