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Finding the Third Proportional to 64,084 and 136,508

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Solution

The third proportional to 64,084 and 136,508 is: 290,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,084 : 136,508 = 136,508 : x
  2. Step 2: Convert to fraction form
    64,084/136,508 = 136,508/x
  3. Step 3: Cross multiply
    64,084x = 136,508 × 136,508
  4. Step 4: Simplify right side
    64,084x = 18,634,434,064
  5. Step 5: Solve for x
    x = 18,634,434,064/64,084
  6. Step 6: Final answer
    x = 290,781.38

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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.