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Finding the Third Proportional to 137,430 and 196,001

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Solution

The third proportional to 137,430 and 196,001 is: 279,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,430 : 196,001 = 196,001 : x
  2. Step 2: Convert to fraction form
    137,430/196,001 = 196,001/x
  3. Step 3: Cross multiply
    137,430x = 196,001 × 196,001
  4. Step 4: Simplify right side
    137,430x = 38,416,392,001
  5. Step 5: Solve for x
    x = 38,416,392,001/137,430
  6. Step 6: Final answer
    x = 279,534.25

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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.