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Finding the Third Proportional to 89,120.75 and 185,417.75

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Solution

The third proportional to 89,120.75 and 185,417.75 is: 385,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,120.75 : 185,417.75 = 185,417.75 : x
  2. Step 2: Convert to fraction form
    89,120.75/185,417.75 = 185,417.75/x
  3. Step 3: Cross multiply
    89,120.75x = 185,417.75 × 185,417.75
  4. Step 4: Simplify right side
    89,120.75x = 34,379,742,015.06
  5. Step 5: Solve for x
    x = 34,379,742,015.06/89,120.75
  6. Step 6: Final answer
    x = 385,765.85

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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.