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Finding the Third Proportional to 133,076 and 195,725

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Solution

The third proportional to 133,076 and 195,725 is: 287,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,076 : 195,725 = 195,725 : x
  2. Step 2: Convert to fraction form
    133,076/195,725 = 195,725/x
  3. Step 3: Cross multiply
    133,076x = 195,725 × 195,725
  4. Step 4: Simplify right side
    133,076x = 38,308,275,625
  5. Step 5: Solve for x
    x = 38,308,275,625/133,076
  6. Step 6: Final answer
    x = 287,867.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.