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Finding the Third Proportional to 129,261.50 and 186,174.50

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Solution

The third proportional to 129,261.50 and 186,174.50 is: 268,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,261.50 : 186,174.50 = 186,174.50 : x
  2. Step 2: Convert to fraction form
    129,261.50/186,174.50 = 186,174.50/x
  3. Step 3: Cross multiply
    129,261.50x = 186,174.50 × 186,174.50
  4. Step 4: Simplify right side
    129,261.50x = 34,660,944,450.25
  5. Step 5: Solve for x
    x = 34,660,944,450.25/129,261.50
  6. Step 6: Final answer
    x = 268,145.92

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.