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Finding the Third Proportional to 104,295 and 145,097

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Solution

The third proportional to 104,295 and 145,097 is: 201,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,295 : 145,097 = 145,097 : x
  2. Step 2: Convert to fraction form
    104,295/145,097 = 145,097/x
  3. Step 3: Cross multiply
    104,295x = 145,097 × 145,097
  4. Step 4: Simplify right side
    104,295x = 21,053,139,409
  5. Step 5: Solve for x
    x = 21,053,139,409/104,295
  6. Step 6: Final answer
    x = 201,861.45

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.