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Finding the Third Proportional to 101,290.50 and 151,092

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Solution

The third proportional to 101,290.50 and 151,092 is: 225,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,290.50 : 151,092 = 151,092 : x
  2. Step 2: Convert to fraction form
    101,290.50/151,092 = 151,092/x
  3. Step 3: Cross multiply
    101,290.50x = 151,092 × 151,092
  4. Step 4: Simplify right side
    101,290.50x = 22,828,792,464
  5. Step 5: Solve for x
    x = 22,828,792,464/101,290.50
  6. Step 6: Final answer
    x = 225,379.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.