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Finding the Third Proportional to 75,313.50 and 162,300

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Solution

The third proportional to 75,313.50 and 162,300 is: 349,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313.50 : 162,300 = 162,300 : x
  2. Step 2: Convert to fraction form
    75,313.50/162,300 = 162,300/x
  3. Step 3: Cross multiply
    75,313.50x = 162,300 × 162,300
  4. Step 4: Simplify right side
    75,313.50x = 26,341,290,000
  5. Step 5: Solve for x
    x = 26,341,290,000/75,313.50
  6. Step 6: Final answer
    x = 349,755.22

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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.