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Finding the Third Proportional to 104,069 and 154,951

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Solution

The third proportional to 104,069 and 154,951 is: 230,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,069 : 154,951 = 154,951 : x
  2. Step 2: Convert to fraction form
    104,069/154,951 = 154,951/x
  3. Step 3: Cross multiply
    104,069x = 154,951 × 154,951
  4. Step 4: Simplify right side
    104,069x = 24,009,812,401
  5. Step 5: Solve for x
    x = 24,009,812,401/104,069
  6. Step 6: Final answer
    x = 230,710.51

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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.