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Finding the Third Proportional to 70,944 and 148,458

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Solution

The third proportional to 70,944 and 148,458 is: 310,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,944 : 148,458 = 148,458 : x
  2. Step 2: Convert to fraction form
    70,944/148,458 = 148,458/x
  3. Step 3: Cross multiply
    70,944x = 148,458 × 148,458
  4. Step 4: Simplify right side
    70,944x = 22,039,777,764
  5. Step 5: Solve for x
    x = 22,039,777,764/70,944
  6. Step 6: Final answer
    x = 310,664.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.