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Finding the Third Proportional to 106,087 and 230,582

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Solution

The third proportional to 106,087 and 230,582 is: 501,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,087 : 230,582 = 230,582 : x
  2. Step 2: Convert to fraction form
    106,087/230,582 = 230,582/x
  3. Step 3: Cross multiply
    106,087x = 230,582 × 230,582
  4. Step 4: Simplify right side
    106,087x = 53,168,058,724
  5. Step 5: Solve for x
    x = 53,168,058,724/106,087
  6. Step 6: Final answer
    x = 501,174.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.