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Finding the Third Proportional to 144,005 and 191,088

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Solution

The third proportional to 144,005 and 191,088 is: 253,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,005 : 191,088 = 191,088 : x
  2. Step 2: Convert to fraction form
    144,005/191,088 = 191,088/x
  3. Step 3: Cross multiply
    144,005x = 191,088 × 191,088
  4. Step 4: Simplify right side
    144,005x = 36,514,623,744
  5. Step 5: Solve for x
    x = 36,514,623,744/144,005
  6. Step 6: Final answer
    x = 253,564.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.