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Finding the Third Proportional to 158,093 and 242,971

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Solution

The third proportional to 158,093 and 242,971 is: 373,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,093 : 242,971 = 242,971 : x
  2. Step 2: Convert to fraction form
    158,093/242,971 = 242,971/x
  3. Step 3: Cross multiply
    158,093x = 242,971 × 242,971
  4. Step 4: Simplify right side
    158,093x = 59,034,906,841
  5. Step 5: Solve for x
    x = 59,034,906,841/158,093
  6. Step 6: Final answer
    x = 373,418.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.