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Finding the Third Proportional to 97,526 and 209,848

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Solution

The third proportional to 97,526 and 209,848 is: 451,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,526 : 209,848 = 209,848 : x
  2. Step 2: Convert to fraction form
    97,526/209,848 = 209,848/x
  3. Step 3: Cross multiply
    97,526x = 209,848 × 209,848
  4. Step 4: Simplify right side
    97,526x = 44,036,183,104
  5. Step 5: Solve for x
    x = 44,036,183,104/97,526
  6. Step 6: Final answer
    x = 451,532.75

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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.