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Finding the Third Proportional to 144,050 and 191,148

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Solution

The third proportional to 144,050 and 191,148 is: 253,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,050 : 191,148 = 191,148 : x
  2. Step 2: Convert to fraction form
    144,050/191,148 = 191,148/x
  3. Step 3: Cross multiply
    144,050x = 191,148 × 191,148
  4. Step 4: Simplify right side
    144,050x = 36,537,557,904
  5. Step 5: Solve for x
    x = 36,537,557,904/144,050
  6. Step 6: Final answer
    x = 253,644.97

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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.