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Finding the Third Proportional to 74,890.50 and 162,903

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Solution

The third proportional to 74,890.50 and 162,903 is: 354,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,890.50 : 162,903 = 162,903 : x
  2. Step 2: Convert to fraction form
    74,890.50/162,903 = 162,903/x
  3. Step 3: Cross multiply
    74,890.50x = 162,903 × 162,903
  4. Step 4: Simplify right side
    74,890.50x = 26,537,387,409
  5. Step 5: Solve for x
    x = 26,537,387,409/74,890.50
  6. Step 6: Final answer
    x = 354,349.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.