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Finding the Third Proportional to 116,761.50 and 187,292.25

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Solution

The third proportional to 116,761.50 and 187,292.25 is: 300,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,761.50 : 187,292.25 = 187,292.25 : x
  2. Step 2: Convert to fraction form
    116,761.50/187,292.25 = 187,292.25/x
  3. Step 3: Cross multiply
    116,761.50x = 187,292.25 × 187,292.25
  4. Step 4: Simplify right side
    116,761.50x = 35,078,386,910.06
  5. Step 5: Solve for x
    x = 35,078,386,910.06/116,761.50
  6. Step 6: Final answer
    x = 300,427.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.