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Finding the Third Proportional to 74,156 and 114,920

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Solution

The third proportional to 74,156 and 114,920 is: 178,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,156 : 114,920 = 114,920 : x
  2. Step 2: Convert to fraction form
    74,156/114,920 = 114,920/x
  3. Step 3: Cross multiply
    74,156x = 114,920 × 114,920
  4. Step 4: Simplify right side
    74,156x = 13,206,606,400
  5. Step 5: Solve for x
    x = 13,206,606,400/74,156
  6. Step 6: Final answer
    x = 178,092.22

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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.