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Finding the Third Proportional to 103,538.25 and 163,650.38

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Solution

The third proportional to 103,538.25 and 163,650.38 is: 258,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,538.25 : 163,650.38 = 163,650.38 : x
  2. Step 2: Convert to fraction form
    103,538.25/163,650.38 = 163,650.38/x
  3. Step 3: Cross multiply
    103,538.25x = 163,650.38 × 163,650.38
  4. Step 4: Simplify right side
    103,538.25x = 26,781,445,237.64
  5. Step 5: Solve for x
    x = 26,781,445,237.64/103,538.25
  6. Step 6: Final answer
    x = 258,662.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.