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Finding the Third Proportional to 133,784 and 195,877

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Solution

The third proportional to 133,784 and 195,877 is: 286,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784 : 195,877 = 195,877 : x
  2. Step 2: Convert to fraction form
    133,784/195,877 = 195,877/x
  3. Step 3: Cross multiply
    133,784x = 195,877 × 195,877
  4. Step 4: Simplify right side
    133,784x = 38,367,799,129
  5. Step 5: Solve for x
    x = 38,367,799,129/133,784
  6. Step 6: Final answer
    x = 286,789.15

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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.