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Finding the Third Proportional to 57,996 and 127,201.50

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Solution

The third proportional to 57,996 and 127,201.50 is: 278,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,996 : 127,201.50 = 127,201.50 : x
  2. Step 2: Convert to fraction form
    57,996/127,201.50 = 127,201.50/x
  3. Step 3: Cross multiply
    57,996x = 127,201.50 × 127,201.50
  4. Step 4: Simplify right side
    57,996x = 16,180,221,602.25
  5. Step 5: Solve for x
    x = 16,180,221,602.25/57,996
  6. Step 6: Final answer
    x = 278,988.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.