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Finding the Third Proportional to 84,321 and 131,422.50

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Solution

The third proportional to 84,321 and 131,422.50 is: 204,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,321 : 131,422.50 = 131,422.50 : x
  2. Step 2: Convert to fraction form
    84,321/131,422.50 = 131,422.50/x
  3. Step 3: Cross multiply
    84,321x = 131,422.50 × 131,422.50
  4. Step 4: Simplify right side
    84,321x = 17,271,873,506.25
  5. Step 5: Solve for x
    x = 17,271,873,506.25/84,321
  6. Step 6: Final answer
    x = 204,834.78

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.