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Finding the Third Proportional to 45,022 and 97,020

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Solution

The third proportional to 45,022 and 97,020 is: 209,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,022 : 97,020 = 97,020 : x
  2. Step 2: Convert to fraction form
    45,022/97,020 = 97,020/x
  3. Step 3: Cross multiply
    45,022x = 97,020 × 97,020
  4. Step 4: Simplify right side
    45,022x = 9,412,880,400
  5. Step 5: Solve for x
    x = 9,412,880,400/45,022
  6. Step 6: Final answer
    x = 209,072.91

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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.