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Finding the Third Proportional to 62,243 and 93,410

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Solution

The third proportional to 62,243 and 93,410 is: 140,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,243 : 93,410 = 93,410 : x
  2. Step 2: Convert to fraction form
    62,243/93,410 = 93,410/x
  3. Step 3: Cross multiply
    62,243x = 93,410 × 93,410
  4. Step 4: Simplify right side
    62,243x = 8,725,428,100
  5. Step 5: Solve for x
    x = 8,725,428,100/62,243
  6. Step 6: Final answer
    x = 140,183.28

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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.