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Finding the Third Proportional to 133,088 and 195,740

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Solution

The third proportional to 133,088 and 195,740 is: 287,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,088 : 195,740 = 195,740 : x
  2. Step 2: Convert to fraction form
    133,088/195,740 = 195,740/x
  3. Step 3: Cross multiply
    133,088x = 195,740 × 195,740
  4. Step 4: Simplify right side
    133,088x = 38,314,147,600
  5. Step 5: Solve for x
    x = 38,314,147,600/133,088
  6. Step 6: Final answer
    x = 287,885.82

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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.