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Finding the Third Proportional to 45,027 and 98,370

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Solution

The third proportional to 45,027 and 98,370 is: 214,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,027 : 98,370 = 98,370 : x
  2. Step 2: Convert to fraction form
    45,027/98,370 = 98,370/x
  3. Step 3: Cross multiply
    45,027x = 98,370 × 98,370
  4. Step 4: Simplify right side
    45,027x = 9,676,656,900
  5. Step 5: Solve for x
    x = 9,676,656,900/45,027
  6. Step 6: Final answer
    x = 214,907.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.