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Finding the Third Proportional to 65,196 and 143,064

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Solution

The third proportional to 65,196 and 143,064 is: 313,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196 : 143,064 = 143,064 : x
  2. Step 2: Convert to fraction form
    65,196/143,064 = 143,064/x
  3. Step 3: Cross multiply
    65,196x = 143,064 × 143,064
  4. Step 4: Simplify right side
    65,196x = 20,467,308,096
  5. Step 5: Solve for x
    x = 20,467,308,096/65,196
  6. Step 6: Final answer
    x = 313,935.03

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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.