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Finding the Third Proportional to 45,468 and 92,235.38

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Solution

The third proportional to 45,468 and 92,235.38 is: 187,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,468 : 92,235.38 = 92,235.38 : x
  2. Step 2: Convert to fraction form
    45,468/92,235.38 = 92,235.38/x
  3. Step 3: Cross multiply
    45,468x = 92,235.38 × 92,235.38
  4. Step 4: Simplify right side
    45,468x = 8,507,364,401.39
  5. Step 5: Solve for x
    x = 8,507,364,401.39/45,468
  6. Step 6: Final answer
    x = 187,106.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.