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Finding the Third Proportional to 74,407 and 111,153

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Solution

The third proportional to 74,407 and 111,153 is: 166,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,407 : 111,153 = 111,153 : x
  2. Step 2: Convert to fraction form
    74,407/111,153 = 111,153/x
  3. Step 3: Cross multiply
    74,407x = 111,153 × 111,153
  4. Step 4: Simplify right side
    74,407x = 12,354,989,409
  5. Step 5: Solve for x
    x = 12,354,989,409/74,407
  6. Step 6: Final answer
    x = 166,046.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.