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Finding the Third Proportional to 45,534 and 98,844

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Solution

The third proportional to 45,534 and 98,844 is: 214,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,534 : 98,844 = 98,844 : x
  2. Step 2: Convert to fraction form
    45,534/98,844 = 98,844/x
  3. Step 3: Cross multiply
    45,534x = 98,844 × 98,844
  4. Step 4: Simplify right side
    45,534x = 9,770,136,336
  5. Step 5: Solve for x
    x = 9,770,136,336/45,534
  6. Step 6: Final answer
    x = 214,567.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.