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Finding the Third Proportional to 71,588.25 and 148,131

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Solution

The third proportional to 71,588.25 and 148,131 is: 306,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,588.25 : 148,131 = 148,131 : x
  2. Step 2: Convert to fraction form
    71,588.25/148,131 = 148,131/x
  3. Step 3: Cross multiply
    71,588.25x = 148,131 × 148,131
  4. Step 4: Simplify right side
    71,588.25x = 21,942,793,161
  5. Step 5: Solve for x
    x = 21,942,793,161/71,588.25
  6. Step 6: Final answer
    x = 306,513.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.