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Finding the Third Proportional to 70,931 and 104,994

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Solution

The third proportional to 70,931 and 104,994 is: 155,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,931 : 104,994 = 104,994 : x
  2. Step 2: Convert to fraction form
    70,931/104,994 = 104,994/x
  3. Step 3: Cross multiply
    70,931x = 104,994 × 104,994
  4. Step 4: Simplify right side
    70,931x = 11,023,740,036
  5. Step 5: Solve for x
    x = 11,023,740,036/70,931
  6. Step 6: Final answer
    x = 155,414.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.