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Finding the Third Proportional to 37,360 and 77,888

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Solution

The third proportional to 37,360 and 77,888 is: 162,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,360 : 77,888 = 77,888 : x
  2. Step 2: Convert to fraction form
    37,360/77,888 = 77,888/x
  3. Step 3: Cross multiply
    37,360x = 77,888 × 77,888
  4. Step 4: Simplify right side
    37,360x = 6,066,540,544
  5. Step 5: Solve for x
    x = 6,066,540,544/37,360
  6. Step 6: Final answer
    x = 162,380.64

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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.