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Finding the Third Proportional to 96,531.75 and 147,669.75

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Solution

The third proportional to 96,531.75 and 147,669.75 is: 225,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,531.75 : 147,669.75 = 147,669.75 : x
  2. Step 2: Convert to fraction form
    96,531.75/147,669.75 = 147,669.75/x
  3. Step 3: Cross multiply
    96,531.75x = 147,669.75 × 147,669.75
  4. Step 4: Simplify right side
    96,531.75x = 21,806,355,065.06
  5. Step 5: Solve for x
    x = 21,806,355,065.06/96,531.75
  6. Step 6: Final answer
    x = 225,898.27

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