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Finding the Third Proportional to 64,848 and 119,040

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Solution

The third proportional to 64,848 and 119,040 is: 218,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,848 : 119,040 = 119,040 : x
  2. Step 2: Convert to fraction form
    64,848/119,040 = 119,040/x
  3. Step 3: Cross multiply
    64,848x = 119,040 × 119,040
  4. Step 4: Simplify right side
    64,848x = 14,170,521,600
  5. Step 5: Solve for x
    x = 14,170,521,600/64,848
  6. Step 6: Final answer
    x = 218,519.02

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.