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Finding the Third Proportional to 75,227 and 119,005.50

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Solution

The third proportional to 75,227 and 119,005.50 is: 188,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,227 : 119,005.50 = 119,005.50 : x
  2. Step 2: Convert to fraction form
    75,227/119,005.50 = 119,005.50/x
  3. Step 3: Cross multiply
    75,227x = 119,005.50 × 119,005.50
  4. Step 4: Simplify right side
    75,227x = 14,162,309,030.25
  5. Step 5: Solve for x
    x = 14,162,309,030.25/75,227
  6. Step 6: Final answer
    x = 188,260.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.