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Finding the Third Proportional to 100,386 and 146,806

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Solution

The third proportional to 100,386 and 146,806 is: 214,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,386 : 146,806 = 146,806 : x
  2. Step 2: Convert to fraction form
    100,386/146,806 = 146,806/x
  3. Step 3: Cross multiply
    100,386x = 146,806 × 146,806
  4. Step 4: Simplify right side
    100,386x = 21,552,001,636
  5. Step 5: Solve for x
    x = 21,552,001,636/100,386
  6. Step 6: Final answer
    x = 214,691.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.