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Finding the Third Proportional to 103,629.38 and 152,043.75

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Solution

The third proportional to 103,629.38 and 152,043.75 is: 223,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629.38 : 152,043.75 = 152,043.75 : x
  2. Step 2: Convert to fraction form
    103,629.38/152,043.75 = 152,043.75/x
  3. Step 3: Cross multiply
    103,629.38x = 152,043.75 × 152,043.75
  4. Step 4: Simplify right side
    103,629.38x = 23,117,301,914.06
  5. Step 5: Solve for x
    x = 23,117,301,914.06/103,629.38
  6. Step 6: Final answer
    x = 223,076.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.