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Finding the Third Proportional to 66,822.75 and 144,092.25

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Solution

The third proportional to 66,822.75 and 144,092.25 is: 310,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,822.75 : 144,092.25 = 144,092.25 : x
  2. Step 2: Convert to fraction form
    66,822.75/144,092.25 = 144,092.25/x
  3. Step 3: Cross multiply
    66,822.75x = 144,092.25 × 144,092.25
  4. Step 4: Simplify right side
    66,822.75x = 20,762,576,510.06
  5. Step 5: Solve for x
    x = 20,762,576,510.06/66,822.75
  6. Step 6: Final answer
    x = 310,711.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.