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Finding the Third Proportional to 91,002 and 139,677

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Solution

The third proportional to 91,002 and 139,677 is: 214,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,002 : 139,677 = 139,677 : x
  2. Step 2: Convert to fraction form
    91,002/139,677 = 139,677/x
  3. Step 3: Cross multiply
    91,002x = 139,677 × 139,677
  4. Step 4: Simplify right side
    91,002x = 19,509,664,329
  5. Step 5: Solve for x
    x = 19,509,664,329/91,002
  6. Step 6: Final answer
    x = 214,387.20

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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.