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Finding the Third Proportional to 133,902 and 177,706.50

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Solution

The third proportional to 133,902 and 177,706.50 is: 235,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,902 : 177,706.50 = 177,706.50 : x
  2. Step 2: Convert to fraction form
    133,902/177,706.50 = 177,706.50/x
  3. Step 3: Cross multiply
    133,902x = 177,706.50 × 177,706.50
  4. Step 4: Simplify right side
    133,902x = 31,579,600,142.25
  5. Step 5: Solve for x
    x = 31,579,600,142.25/133,902
  6. Step 6: Final answer
    x = 235,841.14

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.