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Finding the Third Proportional to 54,725.63 and 83,192.06

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Solution

The third proportional to 54,725.63 and 83,192.06 is: 126,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,725.63 : 83,192.06 = 83,192.06 : x
  2. Step 2: Convert to fraction form
    54,725.63/83,192.06 = 83,192.06/x
  3. Step 3: Cross multiply
    54,725.63x = 83,192.06 × 83,192.06
  4. Step 4: Simplify right side
    54,725.63x = 6,920,919,263.00
  5. Step 5: Solve for x
    x = 6,920,919,263.00/54,725.63
  6. Step 6: Final answer
    x = 126,465.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.