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Finding the Third Proportional to 74,206 and 114,855

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Solution

The third proportional to 74,206 and 114,855 is: 177,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,206 : 114,855 = 114,855 : x
  2. Step 2: Convert to fraction form
    74,206/114,855 = 114,855/x
  3. Step 3: Cross multiply
    74,206x = 114,855 × 114,855
  4. Step 4: Simplify right side
    74,206x = 13,191,671,025
  5. Step 5: Solve for x
    x = 13,191,671,025/74,206
  6. Step 6: Final answer
    x = 177,770.95

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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.