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Finding the Third Proportional to 84,523 and 130,809

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Solution

The third proportional to 84,523 and 130,809 is: 202,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,523 : 130,809 = 130,809 : x
  2. Step 2: Convert to fraction form
    84,523/130,809 = 130,809/x
  3. Step 3: Cross multiply
    84,523x = 130,809 × 130,809
  4. Step 4: Simplify right side
    84,523x = 17,110,994,481
  5. Step 5: Solve for x
    x = 17,110,994,481/84,523
  6. Step 6: Final answer
    x = 202,441.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.