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Finding the Third Proportional to 74,176 and 111,900

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Solution

The third proportional to 74,176 and 111,900 is: 168,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,176 : 111,900 = 111,900 : x
  2. Step 2: Convert to fraction form
    74,176/111,900 = 111,900/x
  3. Step 3: Cross multiply
    74,176x = 111,900 × 111,900
  4. Step 4: Simplify right side
    74,176x = 12,521,610,000
  5. Step 5: Solve for x
    x = 12,521,610,000/74,176
  6. Step 6: Final answer
    x = 168,809.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.