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Finding the Third Proportional to 122,942 and 174,117

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Solution

The third proportional to 122,942 and 174,117 is: 246,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,942 : 174,117 = 174,117 : x
  2. Step 2: Convert to fraction form
    122,942/174,117 = 174,117/x
  3. Step 3: Cross multiply
    122,942x = 174,117 × 174,117
  4. Step 4: Simplify right side
    122,942x = 30,316,729,689
  5. Step 5: Solve for x
    x = 30,316,729,689/122,942
  6. Step 6: Final answer
    x = 246,593.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.