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Finding the Third Proportional to 74,008 and 158,592

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Solution

The third proportional to 74,008 and 158,592 is: 339,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,008 : 158,592 = 158,592 : x
  2. Step 2: Convert to fraction form
    74,008/158,592 = 158,592/x
  3. Step 3: Cross multiply
    74,008x = 158,592 × 158,592
  4. Step 4: Simplify right side
    74,008x = 25,151,422,464
  5. Step 5: Solve for x
    x = 25,151,422,464/74,008
  6. Step 6: Final answer
    x = 339,847.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.