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Finding the Third Proportional to 89,484.75 and 126,451.13

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Solution

The third proportional to 89,484.75 and 126,451.13 is: 178,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,484.75 : 126,451.13 = 126,451.13 : x
  2. Step 2: Convert to fraction form
    89,484.75/126,451.13 = 126,451.13/x
  3. Step 3: Cross multiply
    89,484.75x = 126,451.13 × 126,451.13
  4. Step 4: Simplify right side
    89,484.75x = 15,989,887,013.77
  5. Step 5: Solve for x
    x = 15,989,887,013.77/89,484.75
  6. Step 6: Final answer
    x = 178,688.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.