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Finding the Third Proportional to 92,014 and 139,400

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Solution

The third proportional to 92,014 and 139,400 is: 211,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,014 : 139,400 = 139,400 : x
  2. Step 2: Convert to fraction form
    92,014/139,400 = 139,400/x
  3. Step 3: Cross multiply
    92,014x = 139,400 × 139,400
  4. Step 4: Simplify right side
    92,014x = 19,432,360,000
  5. Step 5: Solve for x
    x = 19,432,360,000/92,014
  6. Step 6: Final answer
    x = 211,189.17

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Why These Related Problems?

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