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Finding the Third Proportional to 96,538 and 147,680

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Solution

The third proportional to 96,538 and 147,680 is: 225,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,538 : 147,680 = 147,680 : x
  2. Step 2: Convert to fraction form
    96,538/147,680 = 147,680/x
  3. Step 3: Cross multiply
    96,538x = 147,680 × 147,680
  4. Step 4: Simplify right side
    96,538x = 21,809,382,400
  5. Step 5: Solve for x
    x = 21,809,382,400/96,538
  6. Step 6: Final answer
    x = 225,915.00

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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.