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Finding the Third Proportional to 106,137 and 230,688

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Solution

The third proportional to 106,137 and 230,688 is: 501,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,137 : 230,688 = 230,688 : x
  2. Step 2: Convert to fraction form
    106,137/230,688 = 230,688/x
  3. Step 3: Cross multiply
    106,137x = 230,688 × 230,688
  4. Step 4: Simplify right side
    106,137x = 53,216,953,344
  5. Step 5: Solve for x
    x = 53,216,953,344/106,137
  6. Step 6: Final answer
    x = 501,398.70

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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.