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Finding the Third Proportional to 144,051 and 191,151

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Solution

The third proportional to 144,051 and 191,151 is: 253,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,051 : 191,151 = 191,151 : x
  2. Step 2: Convert to fraction form
    144,051/191,151 = 191,151/x
  3. Step 3: Cross multiply
    144,051x = 191,151 × 191,151
  4. Step 4: Simplify right side
    144,051x = 36,538,704,801
  5. Step 5: Solve for x
    x = 36,538,704,801/144,051
  6. Step 6: Final answer
    x = 253,651.17

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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.