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Finding the Third Proportional to 44,959 and 98,665

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Solution

The third proportional to 44,959 and 98,665 is: 216,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,959 : 98,665 = 98,665 : x
  2. Step 2: Convert to fraction form
    44,959/98,665 = 98,665/x
  3. Step 3: Cross multiply
    44,959x = 98,665 × 98,665
  4. Step 4: Simplify right side
    44,959x = 9,734,782,225
  5. Step 5: Solve for x
    x = 9,734,782,225/44,959
  6. Step 6: Final answer
    x = 216,525.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.