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Finding the Third Proportional to 72,915.19 and 119,063.25

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Solution

The third proportional to 72,915.19 and 119,063.25 is: 194,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,915.19 : 119,063.25 = 119,063.25 : x
  2. Step 2: Convert to fraction form
    72,915.19/119,063.25 = 119,063.25/x
  3. Step 3: Cross multiply
    72,915.19x = 119,063.25 × 119,063.25
  4. Step 4: Simplify right side
    72,915.19x = 14,176,057,500.56
  5. Step 5: Solve for x
    x = 14,176,057,500.56/72,915.19
  6. Step 6: Final answer
    x = 194,418.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.