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Finding the Third Proportional to 147,129.75 and 208,245.75

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Solution

The third proportional to 147,129.75 and 208,245.75 is: 294,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,129.75 : 208,245.75 = 208,245.75 : x
  2. Step 2: Convert to fraction form
    147,129.75/208,245.75 = 208,245.75/x
  3. Step 3: Cross multiply
    147,129.75x = 208,245.75 × 208,245.75
  4. Step 4: Simplify right side
    147,129.75x = 43,366,292,393.06
  5. Step 5: Solve for x
    x = 43,366,292,393.06/147,129.75
  6. Step 6: Final answer
    x = 294,748.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.