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Finding the Third Proportional to 64,850 and 119,044

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Solution

The third proportional to 64,850 and 119,044 is: 218,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,850 : 119,044 = 119,044 : x
  2. Step 2: Convert to fraction form
    64,850/119,044 = 119,044/x
  3. Step 3: Cross multiply
    64,850x = 119,044 × 119,044
  4. Step 4: Simplify right side
    64,850x = 14,171,473,936
  5. Step 5: Solve for x
    x = 14,171,473,936/64,850
  6. Step 6: Final answer
    x = 218,526.97

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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.