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Finding the Third Proportional to 62,286.50 and 93,338

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Solution

The third proportional to 62,286.50 and 93,338 is: 139,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,286.50 : 93,338 = 93,338 : x
  2. Step 2: Convert to fraction form
    62,286.50/93,338 = 93,338/x
  3. Step 3: Cross multiply
    62,286.50x = 93,338 × 93,338
  4. Step 4: Simplify right side
    62,286.50x = 8,711,982,244
  5. Step 5: Solve for x
    x = 8,711,982,244/62,286.50
  6. Step 6: Final answer
    x = 139,869.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.