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Finding the Third Proportional to 70,544 and 109,320

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Solution

The third proportional to 70,544 and 109,320 is: 169,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,544 : 109,320 = 109,320 : x
  2. Step 2: Convert to fraction form
    70,544/109,320 = 109,320/x
  3. Step 3: Cross multiply
    70,544x = 109,320 × 109,320
  4. Step 4: Simplify right side
    70,544x = 11,950,862,400
  5. Step 5: Solve for x
    x = 11,950,862,400/70,544
  6. Step 6: Final answer
    x = 169,410.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.