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Finding the Third Proportional to 74,548 and 111,894

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Solution

The third proportional to 74,548 and 111,894 is: 167,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,548 : 111,894 = 111,894 : x
  2. Step 2: Convert to fraction form
    74,548/111,894 = 111,894/x
  3. Step 3: Cross multiply
    74,548x = 111,894 × 111,894
  4. Step 4: Simplify right side
    74,548x = 12,520,267,236
  5. Step 5: Solve for x
    x = 12,520,267,236/74,548
  6. Step 6: Final answer
    x = 167,949.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.