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Finding the Third Proportional to 127,038 and 189,940.50

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Solution

The third proportional to 127,038 and 189,940.50 is: 283,988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,038 : 189,940.50 = 189,940.50 : x
  2. Step 2: Convert to fraction form
    127,038/189,940.50 = 189,940.50/x
  3. Step 3: Cross multiply
    127,038x = 189,940.50 × 189,940.50
  4. Step 4: Simplify right side
    127,038x = 36,077,393,540.25
  5. Step 5: Solve for x
    x = 36,077,393,540.25/127,038
  6. Step 6: Final answer
    x = 283,988.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.