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Finding the Third Proportional to 75,602 and 162,760

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Solution

The third proportional to 75,602 and 162,760 is: 350,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,602 : 162,760 = 162,760 : x
  2. Step 2: Convert to fraction form
    75,602/162,760 = 162,760/x
  3. Step 3: Cross multiply
    75,602x = 162,760 × 162,760
  4. Step 4: Simplify right side
    75,602x = 26,490,817,600
  5. Step 5: Solve for x
    x = 26,490,817,600/75,602
  6. Step 6: Final answer
    x = 350,398.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.