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Finding the Third Proportional to 62,608 and 97,022

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Solution

The third proportional to 62,608 and 97,022 is: 150,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,608 : 97,022 = 97,022 : x
  2. Step 2: Convert to fraction form
    62,608/97,022 = 97,022/x
  3. Step 3: Cross multiply
    62,608x = 97,022 × 97,022
  4. Step 4: Simplify right side
    62,608x = 9,413,268,484
  5. Step 5: Solve for x
    x = 9,413,268,484/62,608
  6. Step 6: Final answer
    x = 150,352.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.