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Finding the Third Proportional to 74,118.80 and 161,654.33

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Solution

The third proportional to 74,118.80 and 161,654.33 is: 352,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,118.80 : 161,654.33 = 161,654.33 : x
  2. Step 2: Convert to fraction form
    74,118.80/161,654.33 = 161,654.33/x
  3. Step 3: Cross multiply
    74,118.80x = 161,654.33 × 161,654.33
  4. Step 4: Simplify right side
    74,118.80x = 26,132,121,170.08
  5. Step 5: Solve for x
    x = 26,132,121,170.08/74,118.80
  6. Step 6: Final answer
    x = 352,570.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.