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Finding the Third Proportional to 133,823 and 195,709

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Solution

The third proportional to 133,823 and 195,709 is: 286,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,823 : 195,709 = 195,709 : x
  2. Step 2: Convert to fraction form
    133,823/195,709 = 195,709/x
  3. Step 3: Cross multiply
    133,823x = 195,709 × 195,709
  4. Step 4: Simplify right side
    133,823x = 38,302,012,681
  5. Step 5: Solve for x
    x = 38,302,012,681/133,823
  6. Step 6: Final answer
    x = 286,213.97

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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.