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Finding the Third Proportional to 98,622 and 160,227.75

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Solution

The third proportional to 98,622 and 160,227.75 is: 260,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,622 : 160,227.75 = 160,227.75 : x
  2. Step 2: Convert to fraction form
    98,622/160,227.75 = 160,227.75/x
  3. Step 3: Cross multiply
    98,622x = 160,227.75 × 160,227.75
  4. Step 4: Simplify right side
    98,622x = 25,672,931,870.06
  5. Step 5: Solve for x
    x = 25,672,931,870.06/98,622
  6. Step 6: Final answer
    x = 260,316.48

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.