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Finding the Third Proportional to 107,840.25 and 163,273.50

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Solution

The third proportional to 107,840.25 and 163,273.50 is: 247,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,840.25 : 163,273.50 = 163,273.50 : x
  2. Step 2: Convert to fraction form
    107,840.25/163,273.50 = 163,273.50/x
  3. Step 3: Cross multiply
    107,840.25x = 163,273.50 × 163,273.50
  4. Step 4: Simplify right side
    107,840.25x = 26,658,235,802.25
  5. Step 5: Solve for x
    x = 26,658,235,802.25/107,840.25
  6. Step 6: Final answer
    x = 247,201.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.