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Finding the Third Proportional to 46,813 and 70,147

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Solution

The third proportional to 46,813 and 70,147 is: 105,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,813 : 70,147 = 70,147 : x
  2. Step 2: Convert to fraction form
    46,813/70,147 = 70,147/x
  3. Step 3: Cross multiply
    46,813x = 70,147 × 70,147
  4. Step 4: Simplify right side
    46,813x = 4,920,601,609
  5. Step 5: Solve for x
    x = 4,920,601,609/46,813
  6. Step 6: Final answer
    x = 105,111.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.