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Finding the Third Proportional to 45,494 and 70,185

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Solution

The third proportional to 45,494 and 70,185 is: 108,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,494 : 70,185 = 70,185 : x
  2. Step 2: Convert to fraction form
    45,494/70,185 = 70,185/x
  3. Step 3: Cross multiply
    45,494x = 70,185 × 70,185
  4. Step 4: Simplify right side
    45,494x = 4,925,934,225
  5. Step 5: Solve for x
    x = 4,925,934,225/45,494
  6. Step 6: Final answer
    x = 108,276.57

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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.