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Finding the Third Proportional to 97,542 and 209,637

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Solution

The third proportional to 97,542 and 209,637 is: 450,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,542 : 209,637 = 209,637 : x
  2. Step 2: Convert to fraction form
    97,542/209,637 = 209,637/x
  3. Step 3: Cross multiply
    97,542x = 209,637 × 209,637
  4. Step 4: Simplify right side
    97,542x = 43,947,671,769
  5. Step 5: Solve for x
    x = 43,947,671,769/97,542
  6. Step 6: Final answer
    x = 450,551.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.