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Finding the Third Proportional to 100,530.75 and 122,203.50

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Solution

The third proportional to 100,530.75 and 122,203.50 is: 148,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,530.75 : 122,203.50 = 122,203.50 : x
  2. Step 2: Convert to fraction form
    100,530.75/122,203.50 = 122,203.50/x
  3. Step 3: Cross multiply
    100,530.75x = 122,203.50 × 122,203.50
  4. Step 4: Simplify right side
    100,530.75x = 14,933,695,412.25
  5. Step 5: Solve for x
    x = 14,933,695,412.25/100,530.75
  6. Step 6: Final answer
    x = 148,548.53

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.