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Finding the Third Proportional to 75,468 and 157,138

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Solution

The third proportional to 75,468 and 157,138 is: 327,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,468 : 157,138 = 157,138 : x
  2. Step 2: Convert to fraction form
    75,468/157,138 = 157,138/x
  3. Step 3: Cross multiply
    75,468x = 157,138 × 157,138
  4. Step 4: Simplify right side
    75,468x = 24,692,351,044
  5. Step 5: Solve for x
    x = 24,692,351,044/75,468
  6. Step 6: Final answer
    x = 327,189.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.