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Finding the Third Proportional to 103,833 and 162,668.25

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Solution

The third proportional to 103,833 and 162,668.25 is: 254,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,833 : 162,668.25 = 162,668.25 : x
  2. Step 2: Convert to fraction form
    103,833/162,668.25 = 162,668.25/x
  3. Step 3: Cross multiply
    103,833x = 162,668.25 × 162,668.25
  4. Step 4: Simplify right side
    103,833x = 26,460,959,558.06
  5. Step 5: Solve for x
    x = 26,460,959,558.06/103,833
  6. Step 6: Final answer
    x = 254,841.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.