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Finding the Third Proportional to 62,822 and 136,706

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Solution

The third proportional to 62,822 and 136,706 is: 297,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,822 : 136,706 = 136,706 : x
  2. Step 2: Convert to fraction form
    62,822/136,706 = 136,706/x
  3. Step 3: Cross multiply
    62,822x = 136,706 × 136,706
  4. Step 4: Simplify right side
    62,822x = 18,688,530,436
  5. Step 5: Solve for x
    x = 18,688,530,436/62,822
  6. Step 6: Final answer
    x = 297,483.85

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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.