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Finding the Third Proportional to 71,131.50 and 148,838.63

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Solution

The third proportional to 71,131.50 and 148,838.63 is: 311,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,131.50 : 148,838.63 = 148,838.63 : x
  2. Step 2: Convert to fraction form
    71,131.50/148,838.63 = 148,838.63/x
  3. Step 3: Cross multiply
    71,131.50x = 148,838.63 × 148,838.63
  4. Step 4: Simplify right side
    71,131.50x = 22,152,936,291.89
  5. Step 5: Solve for x
    x = 22,152,936,291.89/71,131.50
  6. Step 6: Final answer
    x = 311,436.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.