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Finding the Third Proportional to 88,057 and 133,766.50

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Solution

The third proportional to 88,057 and 133,766.50 is: 203,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,057 : 133,766.50 = 133,766.50 : x
  2. Step 2: Convert to fraction form
    88,057/133,766.50 = 133,766.50/x
  3. Step 3: Cross multiply
    88,057x = 133,766.50 × 133,766.50
  4. Step 4: Simplify right side
    88,057x = 17,893,476,522.25
  5. Step 5: Solve for x
    x = 17,893,476,522.25/88,057
  6. Step 6: Final answer
    x = 203,203.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.