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Finding the Third Proportional to 89,145 and 185,631.75

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Solution

The third proportional to 89,145 and 185,631.75 is: 386,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,145 : 185,631.75 = 185,631.75 : x
  2. Step 2: Convert to fraction form
    89,145/185,631.75 = 185,631.75/x
  3. Step 3: Cross multiply
    89,145x = 185,631.75 × 185,631.75
  4. Step 4: Simplify right side
    89,145x = 34,459,146,608.06
  5. Step 5: Solve for x
    x = 34,459,146,608.06/89,145
  6. Step 6: Final answer
    x = 386,551.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.