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Finding the Third Proportional to 75,457.50 and 158,259

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Solution

The third proportional to 75,457.50 and 158,259 is: 331,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,457.50 : 158,259 = 158,259 : x
  2. Step 2: Convert to fraction form
    75,457.50/158,259 = 158,259/x
  3. Step 3: Cross multiply
    75,457.50x = 158,259 × 158,259
  4. Step 4: Simplify right side
    75,457.50x = 25,045,911,081
  5. Step 5: Solve for x
    x = 25,045,911,081/75,457.50
  6. Step 6: Final answer
    x = 331,920.76

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.