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Finding the Third Proportional to 54,619.31 and 74,750.34

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Solution

The third proportional to 54,619.31 and 74,750.34 is: 102,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,619.31 : 74,750.34 = 74,750.34 : x
  2. Step 2: Convert to fraction form
    54,619.31/74,750.34 = 74,750.34/x
  3. Step 3: Cross multiply
    54,619.31x = 74,750.34 × 74,750.34
  4. Step 4: Simplify right side
    54,619.31x = 5,587,613,890.74
  5. Step 5: Solve for x
    x = 5,587,613,890.74/54,619.31
  6. Step 6: Final answer
    x = 102,301.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.