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Finding the Third Proportional to 105,322.75 and 161,503.50

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Solution

The third proportional to 105,322.75 and 161,503.50 is: 247,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,322.75 : 161,503.50 = 161,503.50 : x
  2. Step 2: Convert to fraction form
    105,322.75/161,503.50 = 161,503.50/x
  3. Step 3: Cross multiply
    105,322.75x = 161,503.50 × 161,503.50
  4. Step 4: Simplify right side
    105,322.75x = 26,083,380,512.25
  5. Step 5: Solve for x
    x = 26,083,380,512.25/105,322.75
  6. Step 6: Final answer
    x = 247,651.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.