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Finding the Third Proportional to 72,601.50 and 114,092.25

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Solution

The third proportional to 72,601.50 and 114,092.25 is: 179,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,601.50 : 114,092.25 = 114,092.25 : x
  2. Step 2: Convert to fraction form
    72,601.50/114,092.25 = 114,092.25/x
  3. Step 3: Cross multiply
    72,601.50x = 114,092.25 × 114,092.25
  4. Step 4: Simplify right side
    72,601.50x = 13,017,041,510.06
  5. Step 5: Solve for x
    x = 13,017,041,510.06/72,601.50
  6. Step 6: Final answer
    x = 179,294.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.