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Finding the Third Proportional to 74,162.25 and 153,581.06

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Solution

The third proportional to 74,162.25 and 153,581.06 is: 318,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,162.25 : 153,581.06 = 153,581.06 : x
  2. Step 2: Convert to fraction form
    74,162.25/153,581.06 = 153,581.06/x
  3. Step 3: Cross multiply
    74,162.25x = 153,581.06 × 153,581.06
  4. Step 4: Simplify right side
    74,162.25x = 23,587,142,758.63
  5. Step 5: Solve for x
    x = 23,587,142,758.63/74,162.25
  6. Step 6: Final answer
    x = 318,047.83

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.