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Finding the Third Proportional to 133,839.75 and 195,730.88

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Solution

The third proportional to 133,839.75 and 195,730.88 is: 286,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,839.75 : 195,730.88 = 195,730.88 : x
  2. Step 2: Convert to fraction form
    133,839.75/195,730.88 = 195,730.88/x
  3. Step 3: Cross multiply
    133,839.75x = 195,730.88 × 195,730.88
  4. Step 4: Simplify right side
    133,839.75x = 38,310,575,428.27
  5. Step 5: Solve for x
    x = 38,310,575,428.27/133,839.75
  6. Step 6: Final answer
    x = 286,242.13

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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.