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Finding the Third Proportional to 92,238 and 139,002

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Solution

The third proportional to 92,238 and 139,002 is: 209,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,238 : 139,002 = 139,002 : x
  2. Step 2: Convert to fraction form
    92,238/139,002 = 139,002/x
  3. Step 3: Cross multiply
    92,238x = 139,002 × 139,002
  4. Step 4: Simplify right side
    92,238x = 19,321,556,004
  5. Step 5: Solve for x
    x = 19,321,556,004/92,238
  6. Step 6: Final answer
    x = 209,475.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.