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Finding the Third Proportional to 70,377 and 148,041

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Solution

The third proportional to 70,377 and 148,041 is: 311,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,377 : 148,041 = 148,041 : x
  2. Step 2: Convert to fraction form
    70,377/148,041 = 148,041/x
  3. Step 3: Cross multiply
    70,377x = 148,041 × 148,041
  4. Step 4: Simplify right side
    70,377x = 21,916,137,681
  5. Step 5: Solve for x
    x = 21,916,137,681/70,377
  6. Step 6: Final answer
    x = 311,410.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.