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Finding the Third Proportional to 65,964 and 146,692

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Solution

The third proportional to 65,964 and 146,692 is: 326,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,964 : 146,692 = 146,692 : x
  2. Step 2: Convert to fraction form
    65,964/146,692 = 146,692/x
  3. Step 3: Cross multiply
    65,964x = 146,692 × 146,692
  4. Step 4: Simplify right side
    65,964x = 21,518,542,864
  5. Step 5: Solve for x
    x = 21,518,542,864/65,964
  6. Step 6: Final answer
    x = 326,216.46

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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.