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Finding the Third Proportional to 66,503.25 and 100,444.50

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Solution

The third proportional to 66,503.25 and 100,444.50 is: 151,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,503.25 : 100,444.50 = 100,444.50 : x
  2. Step 2: Convert to fraction form
    66,503.25/100,444.50 = 100,444.50/x
  3. Step 3: Cross multiply
    66,503.25x = 100,444.50 × 100,444.50
  4. Step 4: Simplify right side
    66,503.25x = 10,089,097,580.25
  5. Step 5: Solve for x
    x = 10,089,097,580.25/66,503.25
  6. Step 6: Final answer
    x = 151,708.34

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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.