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Finding the Third Proportional to 55,817.50 and 121,071.50

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Solution

The third proportional to 55,817.50 and 121,071.50 is: 262,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,817.50 : 121,071.50 = 121,071.50 : x
  2. Step 2: Convert to fraction form
    55,817.50/121,071.50 = 121,071.50/x
  3. Step 3: Cross multiply
    55,817.50x = 121,071.50 × 121,071.50
  4. Step 4: Simplify right side
    55,817.50x = 14,658,308,112.25
  5. Step 5: Solve for x
    x = 14,658,308,112.25/55,817.50
  6. Step 6: Final answer
    x = 262,611.33

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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.