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Finding the Third Proportional to 65,553 and 142,203

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Solution

The third proportional to 65,553 and 142,203 is: 308,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,553 : 142,203 = 142,203 : x
  2. Step 2: Convert to fraction form
    65,553/142,203 = 142,203/x
  3. Step 3: Cross multiply
    65,553x = 142,203 × 142,203
  4. Step 4: Simplify right side
    65,553x = 20,221,693,209
  5. Step 5: Solve for x
    x = 20,221,693,209/65,553
  6. Step 6: Final answer
    x = 308,478.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.