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Finding the Third Proportional to 31,148 and 70,094

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Solution

The third proportional to 31,148 and 70,094 is: 157,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,148 : 70,094 = 70,094 : x
  2. Step 2: Convert to fraction form
    31,148/70,094 = 70,094/x
  3. Step 3: Cross multiply
    31,148x = 70,094 × 70,094
  4. Step 4: Simplify right side
    31,148x = 4,913,168,836
  5. Step 5: Solve for x
    x = 4,913,168,836/31,148
  6. Step 6: Final answer
    x = 157,736.25

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.