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Finding the Third Proportional to 103,817 and 155,184

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Solution

The third proportional to 103,817 and 155,184 is: 231,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,817 : 155,184 = 155,184 : x
  2. Step 2: Convert to fraction form
    103,817/155,184 = 155,184/x
  3. Step 3: Cross multiply
    103,817x = 155,184 × 155,184
  4. Step 4: Simplify right side
    103,817x = 24,082,073,856
  5. Step 5: Solve for x
    x = 24,082,073,856/103,817
  6. Step 6: Final answer
    x = 231,966.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.