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Finding the Third Proportional to 70,848 and 149,040

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Solution

The third proportional to 70,848 and 149,040 is: 313,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848 : 149,040 = 149,040 : x
  2. Step 2: Convert to fraction form
    70,848/149,040 = 149,040/x
  3. Step 3: Cross multiply
    70,848x = 149,040 × 149,040
  4. Step 4: Simplify right side
    70,848x = 22,212,921,600
  5. Step 5: Solve for x
    x = 22,212,921,600/70,848
  6. Step 6: Final answer
    x = 313,529.27

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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.