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Finding the Third Proportional to 74,091 and 114,755

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Solution

The third proportional to 74,091 and 114,755 is: 177,736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,091 : 114,755 = 114,755 : x
  2. Step 2: Convert to fraction form
    74,091/114,755 = 114,755/x
  3. Step 3: Cross multiply
    74,091x = 114,755 × 114,755
  4. Step 4: Simplify right side
    74,091x = 13,168,710,025
  5. Step 5: Solve for x
    x = 13,168,710,025/74,091
  6. Step 6: Final answer
    x = 177,736.97

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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.