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Finding the Third Proportional to 89,363.25 and 137,234.25

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Solution

The third proportional to 89,363.25 and 137,234.25 is: 210,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,363.25 : 137,234.25 = 137,234.25 : x
  2. Step 2: Convert to fraction form
    89,363.25/137,234.25 = 137,234.25/x
  3. Step 3: Cross multiply
    89,363.25x = 137,234.25 × 137,234.25
  4. Step 4: Simplify right side
    89,363.25x = 18,833,239,373.06
  5. Step 5: Solve for x
    x = 18,833,239,373.06/89,363.25
  6. Step 6: Final answer
    x = 210,749.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.