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Finding the Third Proportional to 45,738 and 98,964

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Solution

The third proportional to 45,738 and 98,964 is: 214,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,738 : 98,964 = 98,964 : x
  2. Step 2: Convert to fraction form
    45,738/98,964 = 98,964/x
  3. Step 3: Cross multiply
    45,738x = 98,964 × 98,964
  4. Step 4: Simplify right side
    45,738x = 9,793,873,296
  5. Step 5: Solve for x
    x = 9,793,873,296/45,738
  6. Step 6: Final answer
    x = 214,129.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.