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Finding the Third Proportional to 103,757 and 150,127

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Solution

The third proportional to 103,757 and 150,127 is: 217,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,757 : 150,127 = 150,127 : x
  2. Step 2: Convert to fraction form
    103,757/150,127 = 150,127/x
  3. Step 3: Cross multiply
    103,757x = 150,127 × 150,127
  4. Step 4: Simplify right side
    103,757x = 22,538,116,129
  5. Step 5: Solve for x
    x = 22,538,116,129/103,757
  6. Step 6: Final answer
    x = 217,220.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.