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Finding the Third Proportional to 96,502 and 212,637

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Solution

The third proportional to 96,502 and 212,637 is: 468,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,502 : 212,637 = 212,637 : x
  2. Step 2: Convert to fraction form
    96,502/212,637 = 212,637/x
  3. Step 3: Cross multiply
    96,502x = 212,637 × 212,637
  4. Step 4: Simplify right side
    96,502x = 45,214,493,769
  5. Step 5: Solve for x
    x = 45,214,493,769/96,502
  6. Step 6: Final answer
    x = 468,534.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.