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Finding the Third Proportional to 37,223 and 77,454

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Solution

The third proportional to 37,223 and 77,454 is: 161,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,223 : 77,454 = 77,454 : x
  2. Step 2: Convert to fraction form
    37,223/77,454 = 77,454/x
  3. Step 3: Cross multiply
    37,223x = 77,454 × 77,454
  4. Step 4: Simplify right side
    37,223x = 5,999,122,116
  5. Step 5: Solve for x
    x = 5,999,122,116/37,223
  6. Step 6: Final answer
    x = 161,167.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.