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Finding the Third Proportional to 70,148 and 169,052

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Solution

The third proportional to 70,148 and 169,052 is: 407,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,148 : 169,052 = 169,052 : x
  2. Step 2: Convert to fraction form
    70,148/169,052 = 169,052/x
  3. Step 3: Cross multiply
    70,148x = 169,052 × 169,052
  4. Step 4: Simplify right side
    70,148x = 28,578,578,704
  5. Step 5: Solve for x
    x = 28,578,578,704/70,148
  6. Step 6: Final answer
    x = 407,404.04

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.