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Finding the Third Proportional to 133,070 and 194,637

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Solution

The third proportional to 133,070 and 194,637 is: 284,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070 : 194,637 = 194,637 : x
  2. Step 2: Convert to fraction form
    133,070/194,637 = 194,637/x
  3. Step 3: Cross multiply
    133,070x = 194,637 × 194,637
  4. Step 4: Simplify right side
    133,070x = 37,883,561,769
  5. Step 5: Solve for x
    x = 37,883,561,769/133,070
  6. Step 6: Final answer
    x = 284,688.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.