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Finding the Third Proportional to 70,457 and 124,177

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Solution

The third proportional to 70,457 and 124,177 is: 218,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,457 : 124,177 = 124,177 : x
  2. Step 2: Convert to fraction form
    70,457/124,177 = 124,177/x
  3. Step 3: Cross multiply
    70,457x = 124,177 × 124,177
  4. Step 4: Simplify right side
    70,457x = 15,419,927,329
  5. Step 5: Solve for x
    x = 15,419,927,329/70,457
  6. Step 6: Final answer
    x = 218,855.86

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.