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Finding the Third Proportional to 103,684 and 153,339

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Solution

The third proportional to 103,684 and 153,339 is: 226,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 153,339 = 153,339 : x
  2. Step 2: Convert to fraction form
    103,684/153,339 = 153,339/x
  3. Step 3: Cross multiply
    103,684x = 153,339 × 153,339
  4. Step 4: Simplify right side
    103,684x = 23,512,848,921
  5. Step 5: Solve for x
    x = 23,512,848,921/103,684
  6. Step 6: Final answer
    x = 226,774.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.