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Finding the Third Proportional to 76,106 and 119,383.50

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Solution

The third proportional to 76,106 and 119,383.50 is: 187,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106 : 119,383.50 = 119,383.50 : x
  2. Step 2: Convert to fraction form
    76,106/119,383.50 = 119,383.50/x
  3. Step 3: Cross multiply
    76,106x = 119,383.50 × 119,383.50
  4. Step 4: Simplify right side
    76,106x = 14,252,420,072.25
  5. Step 5: Solve for x
    x = 14,252,420,072.25/76,106
  6. Step 6: Final answer
    x = 187,270.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.