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Finding the Third Proportional to 75,004.69 and 105,503.44

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Solution

The third proportional to 75,004.69 and 105,503.44 is: 148,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004.69 : 105,503.44 = 105,503.44 : x
  2. Step 2: Convert to fraction form
    75,004.69/105,503.44 = 105,503.44/x
  3. Step 3: Cross multiply
    75,004.69x = 105,503.44 × 105,503.44
  4. Step 4: Simplify right side
    75,004.69x = 11,130,975,324.32
  5. Step 5: Solve for x
    x = 11,130,975,324.32/75,004.69
  6. Step 6: Final answer
    x = 148,403.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.