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Finding the Third Proportional to 62,564 and 136,144

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Solution

The third proportional to 62,564 and 136,144 is: 296,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,564 : 136,144 = 136,144 : x
  2. Step 2: Convert to fraction form
    62,564/136,144 = 136,144/x
  3. Step 3: Cross multiply
    62,564x = 136,144 × 136,144
  4. Step 4: Simplify right side
    62,564x = 18,535,188,736
  5. Step 5: Solve for x
    x = 18,535,188,736/62,564
  6. Step 6: Final answer
    x = 296,259.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.