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Finding the Third Proportional to 43,135.50 and 96,315

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Solution

The third proportional to 43,135.50 and 96,315 is: 215,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,135.50 : 96,315 = 96,315 : x
  2. Step 2: Convert to fraction form
    43,135.50/96,315 = 96,315/x
  3. Step 3: Cross multiply
    43,135.50x = 96,315 × 96,315
  4. Step 4: Simplify right side
    43,135.50x = 9,276,579,225
  5. Step 5: Solve for x
    x = 9,276,579,225/43,135.50
  6. Step 6: Final answer
    x = 215,056.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.