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Finding the Third Proportional to 74,727 and 158,566.50

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Solution

The third proportional to 74,727 and 158,566.50 is: 336,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,727 : 158,566.50 = 158,566.50 : x
  2. Step 2: Convert to fraction form
    74,727/158,566.50 = 158,566.50/x
  3. Step 3: Cross multiply
    74,727x = 158,566.50 × 158,566.50
  4. Step 4: Simplify right side
    74,727x = 25,143,334,922.25
  5. Step 5: Solve for x
    x = 25,143,334,922.25/74,727
  6. Step 6: Final answer
    x = 336,469.21

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.