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Finding the Third Proportional to 42,137 and 90,271.25

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Solution

The third proportional to 42,137 and 90,271.25 is: 193,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,137 : 90,271.25 = 90,271.25 : x
  2. Step 2: Convert to fraction form
    42,137/90,271.25 = 90,271.25/x
  3. Step 3: Cross multiply
    42,137x = 90,271.25 × 90,271.25
  4. Step 4: Simplify right side
    42,137x = 8,148,898,576.56
  5. Step 5: Solve for x
    x = 8,148,898,576.56/42,137
  6. Step 6: Final answer
    x = 193,390.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.