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Finding the Third Proportional to 45,615 and 98,022

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Solution

The third proportional to 45,615 and 98,022 is: 210,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,615 : 98,022 = 98,022 : x
  2. Step 2: Convert to fraction form
    45,615/98,022 = 98,022/x
  3. Step 3: Cross multiply
    45,615x = 98,022 × 98,022
  4. Step 4: Simplify right side
    45,615x = 9,608,312,484
  5. Step 5: Solve for x
    x = 9,608,312,484/45,615
  6. Step 6: Final answer
    x = 210,639.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.