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Finding the Third Proportional to 75,360.75 and 161,649.75

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Solution

The third proportional to 75,360.75 and 161,649.75 is: 346,740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,360.75 : 161,649.75 = 161,649.75 : x
  2. Step 2: Convert to fraction form
    75,360.75/161,649.75 = 161,649.75/x
  3. Step 3: Cross multiply
    75,360.75x = 161,649.75 × 161,649.75
  4. Step 4: Simplify right side
    75,360.75x = 26,130,641,675.06
  5. Step 5: Solve for x
    x = 26,130,641,675.06/75,360.75
  6. Step 6: Final answer
    x = 346,740.73

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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.