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Finding the Third Proportional to 74,073 and 162,969

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Solution

The third proportional to 74,073 and 162,969 is: 358,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,073 : 162,969 = 162,969 : x
  2. Step 2: Convert to fraction form
    74,073/162,969 = 162,969/x
  3. Step 3: Cross multiply
    74,073x = 162,969 × 162,969
  4. Step 4: Simplify right side
    74,073x = 26,558,894,961
  5. Step 5: Solve for x
    x = 26,558,894,961/74,073
  6. Step 6: Final answer
    x = 358,550.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.