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Finding the Third Proportional to 99,314 and 138,921

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Solution

The third proportional to 99,314 and 138,921 is: 194,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,314 : 138,921 = 138,921 : x
  2. Step 2: Convert to fraction form
    99,314/138,921 = 138,921/x
  3. Step 3: Cross multiply
    99,314x = 138,921 × 138,921
  4. Step 4: Simplify right side
    99,314x = 19,299,044,241
  5. Step 5: Solve for x
    x = 19,299,044,241/99,314
  6. Step 6: Final answer
    x = 194,323.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.