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Finding the Third Proportional to 45,603 and 98,556.75

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Solution

The third proportional to 45,603 and 98,556.75 is: 212,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,603 : 98,556.75 = 98,556.75 : x
  2. Step 2: Convert to fraction form
    45,603/98,556.75 = 98,556.75/x
  3. Step 3: Cross multiply
    45,603x = 98,556.75 × 98,556.75
  4. Step 4: Simplify right side
    45,603x = 9,713,432,970.56
  5. Step 5: Solve for x
    x = 9,713,432,970.56/45,603
  6. Step 6: Final answer
    x = 212,999.87

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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.