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Finding the Third Proportional to 70,094 and 157,739

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Solution

The third proportional to 70,094 and 157,739 is: 354,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,094 : 157,739 = 157,739 : x
  2. Step 2: Convert to fraction form
    70,094/157,739 = 157,739/x
  3. Step 3: Cross multiply
    70,094x = 157,739 × 157,739
  4. Step 4: Simplify right side
    70,094x = 24,881,592,121
  5. Step 5: Solve for x
    x = 24,881,592,121/70,094
  6. Step 6: Final answer
    x = 354,974.64

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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.