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Finding the Third Proportional to 90,317 and 139,301

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Solution

The third proportional to 90,317 and 139,301 is: 214,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,317 : 139,301 = 139,301 : x
  2. Step 2: Convert to fraction form
    90,317/139,301 = 139,301/x
  3. Step 3: Cross multiply
    90,317x = 139,301 × 139,301
  4. Step 4: Simplify right side
    90,317x = 19,404,768,601
  5. Step 5: Solve for x
    x = 19,404,768,601/90,317
  6. Step 6: Final answer
    x = 214,851.78

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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.