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Finding the Third Proportional to 80,946 and 126,703.13

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Solution

The third proportional to 80,946 and 126,703.13 is: 198,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,946 : 126,703.13 = 126,703.13 : x
  2. Step 2: Convert to fraction form
    80,946/126,703.13 = 126,703.13/x
  3. Step 3: Cross multiply
    80,946x = 126,703.13 × 126,703.13
  4. Step 4: Simplify right side
    80,946x = 16,053,681,884.77
  5. Step 5: Solve for x
    x = 16,053,681,884.77/80,946
  6. Step 6: Final answer
    x = 198,325.82

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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.