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Finding the Third Proportional to 103,720.50 and 166,353.75

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Solution

The third proportional to 103,720.50 and 166,353.75 is: 266,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,720.50 : 166,353.75 = 166,353.75 : x
  2. Step 2: Convert to fraction form
    103,720.50/166,353.75 = 166,353.75/x
  3. Step 3: Cross multiply
    103,720.50x = 166,353.75 × 166,353.75
  4. Step 4: Simplify right side
    103,720.50x = 27,673,570,139.06
  5. Step 5: Solve for x
    x = 27,673,570,139.06/103,720.50
  6. Step 6: Final answer
    x = 266,809.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.