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Finding the Third Proportional to 103,681 and 155,916

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Solution

The third proportional to 103,681 and 155,916 is: 234,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681 : 155,916 = 155,916 : x
  2. Step 2: Convert to fraction form
    103,681/155,916 = 155,916/x
  3. Step 3: Cross multiply
    103,681x = 155,916 × 155,916
  4. Step 4: Simplify right side
    103,681x = 24,309,799,056
  5. Step 5: Solve for x
    x = 24,309,799,056/103,681
  6. Step 6: Final answer
    x = 234,467.25

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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.