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Finding the Third Proportional to 97,542 and 209,633

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Solution

The third proportional to 97,542 and 209,633 is: 450,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,542 : 209,633 = 209,633 : x
  2. Step 2: Convert to fraction form
    97,542/209,633 = 209,633/x
  3. Step 3: Cross multiply
    97,542x = 209,633 × 209,633
  4. Step 4: Simplify right side
    97,542x = 43,945,994,689
  5. Step 5: Solve for x
    x = 43,945,994,689/97,542
  6. Step 6: Final answer
    x = 450,534.07

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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.