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Finding the Third Proportional to 48,609 and 101,098.25

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Solution

The third proportional to 48,609 and 101,098.25 is: 210,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,609 : 101,098.25 = 101,098.25 : x
  2. Step 2: Convert to fraction form
    48,609/101,098.25 = 101,098.25/x
  3. Step 3: Cross multiply
    48,609x = 101,098.25 × 101,098.25
  4. Step 4: Simplify right side
    48,609x = 10,220,856,153.06
  5. Step 5: Solve for x
    x = 10,220,856,153.06/48,609
  6. Step 6: Final answer
    x = 210,266.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.