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Finding the Third Proportional to 57,984 and 127,044

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Solution

The third proportional to 57,984 and 127,044 is: 278,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984 : 127,044 = 127,044 : x
  2. Step 2: Convert to fraction form
    57,984/127,044 = 127,044/x
  3. Step 3: Cross multiply
    57,984x = 127,044 × 127,044
  4. Step 4: Simplify right side
    57,984x = 16,140,177,936
  5. Step 5: Solve for x
    x = 16,140,177,936/57,984
  6. Step 6: Final answer
    x = 278,355.72

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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.