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Finding the Third Proportional to 51,265.41 and 80,258.34

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Solution

The third proportional to 51,265.41 and 80,258.34 is: 125,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,265.41 : 80,258.34 = 80,258.34 : x
  2. Step 2: Convert to fraction form
    51,265.41/80,258.34 = 80,258.34/x
  3. Step 3: Cross multiply
    51,265.41x = 80,258.34 × 80,258.34
  4. Step 4: Simplify right side
    51,265.41x = 6,441,401,741.49
  5. Step 5: Solve for x
    x = 6,441,401,741.49/51,265.41
  6. Step 6: Final answer
    x = 125,648.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.