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Finding the Third Proportional to 102,605.25 and 163,910.25

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Solution

The third proportional to 102,605.25 and 163,910.25 is: 261,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,605.25 : 163,910.25 = 163,910.25 : x
  2. Step 2: Convert to fraction form
    102,605.25/163,910.25 = 163,910.25/x
  3. Step 3: Cross multiply
    102,605.25x = 163,910.25 × 163,910.25
  4. Step 4: Simplify right side
    102,605.25x = 26,866,570,055.06
  5. Step 5: Solve for x
    x = 26,866,570,055.06/102,605.25
  6. Step 6: Final answer
    x = 261,844.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.