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Finding the Third Proportional to 63,094 and 138,994

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Solution

The third proportional to 63,094 and 138,994 is: 306,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,094 : 138,994 = 138,994 : x
  2. Step 2: Convert to fraction form
    63,094/138,994 = 138,994/x
  3. Step 3: Cross multiply
    63,094x = 138,994 × 138,994
  4. Step 4: Simplify right side
    63,094x = 19,319,332,036
  5. Step 5: Solve for x
    x = 19,319,332,036/63,094
  6. Step 6: Final answer
    x = 306,199.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.