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Finding the Third Proportional to 56,054.25 and 83,283.19

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Solution

The third proportional to 56,054.25 and 83,283.19 is: 123,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,054.25 : 83,283.19 = 83,283.19 : x
  2. Step 2: Convert to fraction form
    56,054.25/83,283.19 = 83,283.19/x
  3. Step 3: Cross multiply
    56,054.25x = 83,283.19 × 83,283.19
  4. Step 4: Simplify right side
    56,054.25x = 6,936,089,320.16
  5. Step 5: Solve for x
    x = 6,936,089,320.16/56,054.25
  6. Step 6: Final answer
    x = 123,738.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.