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Finding the Third Proportional to 64,050 and 102,321

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Solution

The third proportional to 64,050 and 102,321 is: 163,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,050 : 102,321 = 102,321 : x
  2. Step 2: Convert to fraction form
    64,050/102,321 = 102,321/x
  3. Step 3: Cross multiply
    64,050x = 102,321 × 102,321
  4. Step 4: Simplify right side
    64,050x = 10,469,587,041
  5. Step 5: Solve for x
    x = 10,469,587,041/64,050
  6. Step 6: Final answer
    x = 163,459.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.