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Finding the Third Proportional to 107,938 and 167,560

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Solution

The third proportional to 107,938 and 167,560 is: 260,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,938 : 167,560 = 167,560 : x
  2. Step 2: Convert to fraction form
    107,938/167,560 = 167,560/x
  3. Step 3: Cross multiply
    107,938x = 167,560 × 167,560
  4. Step 4: Simplify right side
    107,938x = 28,076,353,600
  5. Step 5: Solve for x
    x = 28,076,353,600/107,938
  6. Step 6: Final answer
    x = 260,115.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.