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Finding the Third Proportional to 83,883.30 and 127,046.60

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Solution

The third proportional to 83,883.30 and 127,046.60 is: 192,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,883.30 : 127,046.60 = 127,046.60 : x
  2. Step 2: Convert to fraction form
    83,883.30/127,046.60 = 127,046.60/x
  3. Step 3: Cross multiply
    83,883.30x = 127,046.60 × 127,046.60
  4. Step 4: Simplify right side
    83,883.30x = 16,140,838,968.58
  5. Step 5: Solve for x
    x = 16,140,838,968.58/83,883.30
  6. Step 6: Final answer
    x = 192,420.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.