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Finding the Third Proportional to 77,054 and 168,796

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Solution

The third proportional to 77,054 and 168,796 is: 369,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,054 : 168,796 = 168,796 : x
  2. Step 2: Convert to fraction form
    77,054/168,796 = 168,796/x
  3. Step 3: Cross multiply
    77,054x = 168,796 × 168,796
  4. Step 4: Simplify right side
    77,054x = 28,492,089,616
  5. Step 5: Solve for x
    x = 28,492,089,616/77,054
  6. Step 6: Final answer
    x = 369,767.82

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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.