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Finding the Third Proportional to 100,025 and 154,830

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Solution

The third proportional to 100,025 and 154,830 is: 239,663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,025 : 154,830 = 154,830 : x
  2. Step 2: Convert to fraction form
    100,025/154,830 = 154,830/x
  3. Step 3: Cross multiply
    100,025x = 154,830 × 154,830
  4. Step 4: Simplify right side
    100,025x = 23,972,328,900
  5. Step 5: Solve for x
    x = 23,972,328,900/100,025
  6. Step 6: Final answer
    x = 239,663.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.