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Finding the Third Proportional to 38,045 and 77,242

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Solution

The third proportional to 38,045 and 77,242 is: 156,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,045 : 77,242 = 77,242 : x
  2. Step 2: Convert to fraction form
    38,045/77,242 = 77,242/x
  3. Step 3: Cross multiply
    38,045x = 77,242 × 77,242
  4. Step 4: Simplify right side
    38,045x = 5,966,326,564
  5. Step 5: Solve for x
    x = 5,966,326,564/38,045
  6. Step 6: Final answer
    x = 156,822.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.