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Finding the Third Proportional to 54,983 and 76,733.75

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Solution

The third proportional to 54,983 and 76,733.75 is: 107,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,983 : 76,733.75 = 76,733.75 : x
  2. Step 2: Convert to fraction form
    54,983/76,733.75 = 76,733.75/x
  3. Step 3: Cross multiply
    54,983x = 76,733.75 × 76,733.75
  4. Step 4: Simplify right side
    54,983x = 5,888,068,389.06
  5. Step 5: Solve for x
    x = 5,888,068,389.06/54,983
  6. Step 6: Final answer
    x = 107,088.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.