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Finding the Third Proportional to 65,873 and 146,484

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Solution

The third proportional to 65,873 and 146,484 is: 325,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,873 : 146,484 = 146,484 : x
  2. Step 2: Convert to fraction form
    65,873/146,484 = 146,484/x
  3. Step 3: Cross multiply
    65,873x = 146,484 × 146,484
  4. Step 4: Simplify right side
    65,873x = 21,457,562,256
  5. Step 5: Solve for x
    x = 21,457,562,256/65,873
  6. Step 6: Final answer
    x = 325,741.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.