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Finding the Third Proportional to 65,652 and 143,336

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Solution

The third proportional to 65,652 and 143,336 is: 312,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,652 : 143,336 = 143,336 : x
  2. Step 2: Convert to fraction form
    65,652/143,336 = 143,336/x
  3. Step 3: Cross multiply
    65,652x = 143,336 × 143,336
  4. Step 4: Simplify right side
    65,652x = 20,545,208,896
  5. Step 5: Solve for x
    x = 20,545,208,896/65,652
  6. Step 6: Final answer
    x = 312,941.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.