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Finding the Third Proportional to 45,085 and 70,084

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Solution

The third proportional to 45,085 and 70,084 is: 108,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,085 : 70,084 = 70,084 : x
  2. Step 2: Convert to fraction form
    45,085/70,084 = 70,084/x
  3. Step 3: Cross multiply
    45,085x = 70,084 × 70,084
  4. Step 4: Simplify right side
    45,085x = 4,911,767,056
  5. Step 5: Solve for x
    x = 4,911,767,056/45,085
  6. Step 6: Final answer
    x = 108,944.59

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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.