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Finding the Third Proportional to 62,384 and 93,495

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Solution

The third proportional to 62,384 and 93,495 is: 140,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,384 : 93,495 = 93,495 : x
  2. Step 2: Convert to fraction form
    62,384/93,495 = 93,495/x
  3. Step 3: Cross multiply
    62,384x = 93,495 × 93,495
  4. Step 4: Simplify right side
    62,384x = 8,741,315,025
  5. Step 5: Solve for x
    x = 8,741,315,025/62,384
  6. Step 6: Final answer
    x = 140,121.11

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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.