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Finding the Third Proportional to 46,668 and 70,242

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Solution

The third proportional to 46,668 and 70,242 is: 105,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,668 : 70,242 = 70,242 : x
  2. Step 2: Convert to fraction form
    46,668/70,242 = 70,242/x
  3. Step 3: Cross multiply
    46,668x = 70,242 × 70,242
  4. Step 4: Simplify right side
    46,668x = 4,933,938,564
  5. Step 5: Solve for x
    x = 4,933,938,564/46,668
  6. Step 6: Final answer
    x = 105,724.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.