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Finding the Third Proportional to 137,751.94 and 212,769.38

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Solution

The third proportional to 137,751.94 and 212,769.38 is: 328,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,751.94 : 212,769.38 = 212,769.38 : x
  2. Step 2: Convert to fraction form
    137,751.94/212,769.38 = 212,769.38/x
  3. Step 3: Cross multiply
    137,751.94x = 212,769.38 × 212,769.38
  4. Step 4: Simplify right side
    137,751.94x = 45,270,806,937.89
  5. Step 5: Solve for x
    x = 45,270,806,937.89/137,751.94
  6. Step 6: Final answer
    x = 328,640.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.