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Finding the Third Proportional to 90,992 and 139,386

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Solution

The third proportional to 90,992 and 139,386 is: 213,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,992 : 139,386 = 139,386 : x
  2. Step 2: Convert to fraction form
    90,992/139,386 = 139,386/x
  3. Step 3: Cross multiply
    90,992x = 139,386 × 139,386
  4. Step 4: Simplify right side
    90,992x = 19,428,456,996
  5. Step 5: Solve for x
    x = 19,428,456,996/90,992
  6. Step 6: Final answer
    x = 213,518.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.