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Finding the Third Proportional to 72,772 and 158,360

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Solution

The third proportional to 72,772 and 158,360 is: 344,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,772 : 158,360 = 158,360 : x
  2. Step 2: Convert to fraction form
    72,772/158,360 = 158,360/x
  3. Step 3: Cross multiply
    72,772x = 158,360 × 158,360
  4. Step 4: Simplify right side
    72,772x = 25,077,889,600
  5. Step 5: Solve for x
    x = 25,077,889,600/72,772
  6. Step 6: Final answer
    x = 344,609.05

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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.