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Finding the Third Proportional to 70,852 and 149,702

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Solution

The third proportional to 70,852 and 149,702 is: 316,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,852 : 149,702 = 149,702 : x
  2. Step 2: Convert to fraction form
    70,852/149,702 = 149,702/x
  3. Step 3: Cross multiply
    70,852x = 149,702 × 149,702
  4. Step 4: Simplify right side
    70,852x = 22,410,688,804
  5. Step 5: Solve for x
    x = 22,410,688,804/70,852
  6. Step 6: Final answer
    x = 316,302.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.