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Finding the Third Proportional to 49,258.76 and 79,013.92

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Solution

The third proportional to 49,258.76 and 79,013.92 is: 126,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,258.76 : 79,013.92 = 79,013.92 : x
  2. Step 2: Convert to fraction form
    49,258.76/79,013.92 = 79,013.92/x
  3. Step 3: Cross multiply
    49,258.76x = 79,013.92 × 79,013.92
  4. Step 4: Simplify right side
    49,258.76x = 6,243,199,232.77
  5. Step 5: Solve for x
    x = 6,243,199,232.77/49,258.76
  6. Step 6: Final answer
    x = 126,742.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.