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Finding the Third Proportional to 62,835 and 136,729

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Solution

The third proportional to 62,835 and 136,729 is: 297,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,835 : 136,729 = 136,729 : x
  2. Step 2: Convert to fraction form
    62,835/136,729 = 136,729/x
  3. Step 3: Cross multiply
    62,835x = 136,729 × 136,729
  4. Step 4: Simplify right side
    62,835x = 18,694,819,441
  5. Step 5: Solve for x
    x = 18,694,819,441/62,835
  6. Step 6: Final answer
    x = 297,522.39

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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.