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Finding the Third Proportional to 46,057 and 70,422

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Solution

The third proportional to 46,057 and 70,422 is: 107,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,057 : 70,422 = 70,422 : x
  2. Step 2: Convert to fraction form
    46,057/70,422 = 70,422/x
  3. Step 3: Cross multiply
    46,057x = 70,422 × 70,422
  4. Step 4: Simplify right side
    46,057x = 4,959,258,084
  5. Step 5: Solve for x
    x = 4,959,258,084/46,057
  6. Step 6: Final answer
    x = 107,676.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.