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Finding the Third Proportional to 62,338.50 and 133,607.25

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Solution

The third proportional to 62,338.50 and 133,607.25 is: 286,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,338.50 : 133,607.25 = 133,607.25 : x
  2. Step 2: Convert to fraction form
    62,338.50/133,607.25 = 133,607.25/x
  3. Step 3: Cross multiply
    62,338.50x = 133,607.25 × 133,607.25
  4. Step 4: Simplify right side
    62,338.50x = 17,850,897,252.56
  5. Step 5: Solve for x
    x = 17,850,897,252.56/62,338.50
  6. Step 6: Final answer
    x = 286,354.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.