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Finding the Third Proportional to 65,944 and 145,334

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Solution

The third proportional to 65,944 and 145,334 is: 320,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,944 : 145,334 = 145,334 : x
  2. Step 2: Convert to fraction form
    65,944/145,334 = 145,334/x
  3. Step 3: Cross multiply
    65,944x = 145,334 × 145,334
  4. Step 4: Simplify right side
    65,944x = 21,121,971,556
  5. Step 5: Solve for x
    x = 21,121,971,556/65,944
  6. Step 6: Final answer
    x = 320,301.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.