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Finding the Third Proportional to 56,396.25 and 89,236.69

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Solution

The third proportional to 56,396.25 and 89,236.69 is: 141,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,396.25 : 89,236.69 = 89,236.69 : x
  2. Step 2: Convert to fraction form
    56,396.25/89,236.69 = 89,236.69/x
  3. Step 3: Cross multiply
    56,396.25x = 89,236.69 × 89,236.69
  4. Step 4: Simplify right side
    56,396.25x = 7,963,186,395.97
  5. Step 5: Solve for x
    x = 7,963,186,395.97/56,396.25
  6. Step 6: Final answer
    x = 141,200.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.