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Finding the Third Proportional to 92,986 and 139,119

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Solution

The third proportional to 92,986 and 139,119 is: 208,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,986 : 139,119 = 139,119 : x
  2. Step 2: Convert to fraction form
    92,986/139,119 = 139,119/x
  3. Step 3: Cross multiply
    92,986x = 139,119 × 139,119
  4. Step 4: Simplify right side
    92,986x = 19,354,096,161
  5. Step 5: Solve for x
    x = 19,354,096,161/92,986
  6. Step 6: Final answer
    x = 208,139.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.