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Finding the Third Proportional to 70,022 and 153,648

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Solution

The third proportional to 70,022 and 153,648 is: 337,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,022 : 153,648 = 153,648 : x
  2. Step 2: Convert to fraction form
    70,022/153,648 = 153,648/x
  3. Step 3: Cross multiply
    70,022x = 153,648 × 153,648
  4. Step 4: Simplify right side
    70,022x = 23,607,707,904
  5. Step 5: Solve for x
    x = 23,607,707,904/70,022
  6. Step 6: Final answer
    x = 337,147.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.