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Finding the Third Proportional to 144,006.75 and 191,092.50

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Solution

The third proportional to 144,006.75 and 191,092.50 is: 253,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,006.75 : 191,092.50 = 191,092.50 : x
  2. Step 2: Convert to fraction form
    144,006.75/191,092.50 = 191,092.50/x
  3. Step 3: Cross multiply
    144,006.75x = 191,092.50 × 191,092.50
  4. Step 4: Simplify right side
    144,006.75x = 36,516,343,556.25
  5. Step 5: Solve for x
    x = 36,516,343,556.25/144,006.75
  6. Step 6: Final answer
    x = 253,573.83

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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.