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Finding the Third Proportional to 74,235.66 and 161,870.91

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Solution

The third proportional to 74,235.66 and 161,870.91 is: 352,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,235.66 : 161,870.91 = 161,870.91 : x
  2. Step 2: Convert to fraction form
    74,235.66/161,870.91 = 161,870.91/x
  3. Step 3: Cross multiply
    74,235.66x = 161,870.91 × 161,870.91
  4. Step 4: Simplify right side
    74,235.66x = 26,202,190,290.20
  5. Step 5: Solve for x
    x = 26,202,190,290.20/74,235.66
  6. Step 6: Final answer
    x = 352,959.64

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