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Finding the Third Proportional to 54,680.06 and 82,783.90

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Solution

The third proportional to 54,680.06 and 82,783.90 is: 125,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,680.06 : 82,783.90 = 82,783.90 : x
  2. Step 2: Convert to fraction form
    54,680.06/82,783.90 = 82,783.90/x
  3. Step 3: Cross multiply
    54,680.06x = 82,783.90 × 82,783.90
  4. Step 4: Simplify right side
    54,680.06x = 6,853,173,840.51
  5. Step 5: Solve for x
    x = 6,853,173,840.51/54,680.06
  6. Step 6: Final answer
    x = 125,332.22

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Why These Related Problems?

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