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Finding the Third Proportional to 68,424 and 102,363

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Solution

The third proportional to 68,424 and 102,363 is: 153,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,424 : 102,363 = 102,363 : x
  2. Step 2: Convert to fraction form
    68,424/102,363 = 102,363/x
  3. Step 3: Cross multiply
    68,424x = 102,363 × 102,363
  4. Step 4: Simplify right side
    68,424x = 10,478,183,769
  5. Step 5: Solve for x
    x = 10,478,183,769/68,424
  6. Step 6: Final answer
    x = 153,136.09

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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.