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Finding the Third Proportional to 74,230 and 114,682

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Solution

The third proportional to 74,230 and 114,682 is: 177,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,230 : 114,682 = 114,682 : x
  2. Step 2: Convert to fraction form
    74,230/114,682 = 114,682/x
  3. Step 3: Cross multiply
    74,230x = 114,682 × 114,682
  4. Step 4: Simplify right side
    74,230x = 13,151,961,124
  5. Step 5: Solve for x
    x = 13,151,961,124/74,230
  6. Step 6: Final answer
    x = 177,178.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.