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Finding the Third Proportional to 37,178 and 77,990

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Solution

The third proportional to 37,178 and 77,990 is: 163,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,178 : 77,990 = 77,990 : x
  2. Step 2: Convert to fraction form
    37,178/77,990 = 77,990/x
  3. Step 3: Cross multiply
    37,178x = 77,990 × 77,990
  4. Step 4: Simplify right side
    37,178x = 6,082,440,100
  5. Step 5: Solve for x
    x = 6,082,440,100/37,178
  6. Step 6: Final answer
    x = 163,603.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.