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Finding the Third Proportional to 65,746 and 143,999

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Solution

The third proportional to 65,746 and 143,999 is: 315,391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,746 : 143,999 = 143,999 : x
  2. Step 2: Convert to fraction form
    65,746/143,999 = 143,999/x
  3. Step 3: Cross multiply
    65,746x = 143,999 × 143,999
  4. Step 4: Simplify right side
    65,746x = 20,735,712,001
  5. Step 5: Solve for x
    x = 20,735,712,001/65,746
  6. Step 6: Final answer
    x = 315,391.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.