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Finding the Third Proportional to 74,308 and 131,000

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Solution

The third proportional to 74,308 and 131,000 is: 230,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,308 : 131,000 = 131,000 : x
  2. Step 2: Convert to fraction form
    74,308/131,000 = 131,000/x
  3. Step 3: Cross multiply
    74,308x = 131,000 × 131,000
  4. Step 4: Simplify right side
    74,308x = 17,161,000,000
  5. Step 5: Solve for x
    x = 17,161,000,000/74,308
  6. Step 6: Final answer
    x = 230,944.18

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.