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Finding the Third Proportional to 74,059 and 114,707

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Solution

The third proportional to 74,059 and 114,707 is: 177,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,059 : 114,707 = 114,707 : x
  2. Step 2: Convert to fraction form
    74,059/114,707 = 114,707/x
  3. Step 3: Cross multiply
    74,059x = 114,707 × 114,707
  4. Step 4: Simplify right side
    74,059x = 13,157,695,849
  5. Step 5: Solve for x
    x = 13,157,695,849/74,059
  6. Step 6: Final answer
    x = 177,665.05

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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.