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Finding the Third Proportional to 104,345.50 and 155,903

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Solution

The third proportional to 104,345.50 and 155,903 is: 232,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,345.50 : 155,903 = 155,903 : x
  2. Step 2: Convert to fraction form
    104,345.50/155,903 = 155,903/x
  3. Step 3: Cross multiply
    104,345.50x = 155,903 × 155,903
  4. Step 4: Simplify right side
    104,345.50x = 24,305,745,409
  5. Step 5: Solve for x
    x = 24,305,745,409/104,345.50
  6. Step 6: Final answer
    x = 232,935.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.