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Finding the Third Proportional to 56,443.50 and 133,724.25

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Solution

The third proportional to 56,443.50 and 133,724.25 is: 316,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,443.50 : 133,724.25 = 133,724.25 : x
  2. Step 2: Convert to fraction form
    56,443.50/133,724.25 = 133,724.25/x
  3. Step 3: Cross multiply
    56,443.50x = 133,724.25 × 133,724.25
  4. Step 4: Simplify right side
    56,443.50x = 17,882,175,038.06
  5. Step 5: Solve for x
    x = 17,882,175,038.06/56,443.50
  6. Step 6: Final answer
    x = 316,815.49

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.