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Finding the Third Proportional to 73,942 and 114,706

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Solution

The third proportional to 73,942 and 114,706 is: 177,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,942 : 114,706 = 114,706 : x
  2. Step 2: Convert to fraction form
    73,942/114,706 = 114,706/x
  3. Step 3: Cross multiply
    73,942x = 114,706 × 114,706
  4. Step 4: Simplify right side
    73,942x = 13,157,466,436
  5. Step 5: Solve for x
    x = 13,157,466,436/73,942
  6. Step 6: Final answer
    x = 177,943.07

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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.