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Finding the Third Proportional to 129,421.97 and 276,836.06

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Solution

The third proportional to 129,421.97 and 276,836.06 is: 592,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,421.97 : 276,836.06 = 276,836.06 : x
  2. Step 2: Convert to fraction form
    129,421.97/276,836.06 = 276,836.06/x
  3. Step 3: Cross multiply
    129,421.97x = 276,836.06 × 276,836.06
  4. Step 4: Simplify right side
    129,421.97x = 76,638,205,500.50
  5. Step 5: Solve for x
    x = 76,638,205,500.50/129,421.97
  6. Step 6: Final answer
    x = 592,157.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.