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Finding the Third Proportional to 70,994 and 107,787

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Solution

The third proportional to 70,994 and 107,787 is: 163,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,994 : 107,787 = 107,787 : x
  2. Step 2: Convert to fraction form
    70,994/107,787 = 107,787/x
  3. Step 3: Cross multiply
    70,994x = 107,787 × 107,787
  4. Step 4: Simplify right side
    70,994x = 11,618,037,369
  5. Step 5: Solve for x
    x = 11,618,037,369/70,994
  6. Step 6: Final answer
    x = 163,648.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.