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Finding the Third Proportional to 96,022.50 and 145,360.50

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Solution

The third proportional to 96,022.50 and 145,360.50 is: 220,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,022.50 : 145,360.50 = 145,360.50 : x
  2. Step 2: Convert to fraction form
    96,022.50/145,360.50 = 145,360.50/x
  3. Step 3: Cross multiply
    96,022.50x = 145,360.50 × 145,360.50
  4. Step 4: Simplify right side
    96,022.50x = 21,129,674,960.25
  5. Step 5: Solve for x
    x = 21,129,674,960.25/96,022.50
  6. Step 6: Final answer
    x = 220,049.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.