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Finding the Third Proportional to 117,963 and 187,630.50

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Solution

The third proportional to 117,963 and 187,630.50 is: 298,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,963 : 187,630.50 = 187,630.50 : x
  2. Step 2: Convert to fraction form
    117,963/187,630.50 = 187,630.50/x
  3. Step 3: Cross multiply
    117,963x = 187,630.50 × 187,630.50
  4. Step 4: Simplify right side
    117,963x = 35,205,204,530.25
  5. Step 5: Solve for x
    x = 35,205,204,530.25/117,963
  6. Step 6: Final answer
    x = 298,442.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.