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Finding the Third Proportional to 77,073.19 and 168,874.88

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Solution

The third proportional to 77,073.19 and 168,874.88 is: 370,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.19 : 168,874.88 = 168,874.88 : x
  2. Step 2: Convert to fraction form
    77,073.19/168,874.88 = 168,874.88/x
  3. Step 3: Cross multiply
    77,073.19x = 168,874.88 × 168,874.88
  4. Step 4: Simplify right side
    77,073.19x = 28,518,723,406.27
  5. Step 5: Solve for x
    x = 28,518,723,406.27/77,073.19
  6. Step 6: Final answer
    x = 370,021.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.