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Finding the Third Proportional to 137,412 and 196,038

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Solution

The third proportional to 137,412 and 196,038 is: 279,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412 : 196,038 = 196,038 : x
  2. Step 2: Convert to fraction form
    137,412/196,038 = 196,038/x
  3. Step 3: Cross multiply
    137,412x = 196,038 × 196,038
  4. Step 4: Simplify right side
    137,412x = 38,430,897,444
  5. Step 5: Solve for x
    x = 38,430,897,444/137,412
  6. Step 6: Final answer
    x = 279,676.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.