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Finding the Third Proportional to 92,038 and 139,880

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Solution

The third proportional to 92,038 and 139,880 is: 212,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,038 : 139,880 = 139,880 : x
  2. Step 2: Convert to fraction form
    92,038/139,880 = 139,880/x
  3. Step 3: Cross multiply
    92,038x = 139,880 × 139,880
  4. Step 4: Simplify right side
    92,038x = 19,566,414,400
  5. Step 5: Solve for x
    x = 19,566,414,400/92,038
  6. Step 6: Final answer
    x = 212,590.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.