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Finding the Third Proportional to 96,523.50 and 147,657

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Solution

The third proportional to 96,523.50 and 147,657 is: 225,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,523.50 : 147,657 = 147,657 : x
  2. Step 2: Convert to fraction form
    96,523.50/147,657 = 147,657/x
  3. Step 3: Cross multiply
    96,523.50x = 147,657 × 147,657
  4. Step 4: Simplify right side
    96,523.50x = 21,802,589,649
  5. Step 5: Solve for x
    x = 21,802,589,649/96,523.50
  6. Step 6: Final answer
    x = 225,878.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.