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Finding the Third Proportional to 97,348 and 140,678

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Solution

The third proportional to 97,348 and 140,678 is: 203,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,348 : 140,678 = 140,678 : x
  2. Step 2: Convert to fraction form
    97,348/140,678 = 140,678/x
  3. Step 3: Cross multiply
    97,348x = 140,678 × 140,678
  4. Step 4: Simplify right side
    97,348x = 19,790,299,684
  5. Step 5: Solve for x
    x = 19,790,299,684/97,348
  6. Step 6: Final answer
    x = 203,294.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.