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Finding the Third Proportional to 74,083 and 111,771

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Solution

The third proportional to 74,083 and 111,771 is: 168,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,083 : 111,771 = 111,771 : x
  2. Step 2: Convert to fraction form
    74,083/111,771 = 111,771/x
  3. Step 3: Cross multiply
    74,083x = 111,771 × 111,771
  4. Step 4: Simplify right side
    74,083x = 12,492,756,441
  5. Step 5: Solve for x
    x = 12,492,756,441/74,083
  6. Step 6: Final answer
    x = 168,631.89

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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.