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Finding the Third Proportional to 45,092 and 70,094

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Solution

The third proportional to 45,092 and 70,094 is: 108,958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,092 : 70,094 = 70,094 : x
  2. Step 2: Convert to fraction form
    45,092/70,094 = 70,094/x
  3. Step 3: Cross multiply
    45,092x = 70,094 × 70,094
  4. Step 4: Simplify right side
    45,092x = 4,913,168,836
  5. Step 5: Solve for x
    x = 4,913,168,836/45,092
  6. Step 6: Final answer
    x = 108,958.77

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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.