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Finding the Third Proportional to 45,484 and 70,170

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Solution

The third proportional to 45,484 and 70,170 is: 108,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,484 : 70,170 = 70,170 : x
  2. Step 2: Convert to fraction form
    45,484/70,170 = 70,170/x
  3. Step 3: Cross multiply
    45,484x = 70,170 × 70,170
  4. Step 4: Simplify right side
    45,484x = 4,923,828,900
  5. Step 5: Solve for x
    x = 4,923,828,900/45,484
  6. Step 6: Final answer
    x = 108,254.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.