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Finding the Third Proportional to 77,054 and 166,516

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Solution

The third proportional to 77,054 and 166,516 is: 359,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,054 : 166,516 = 166,516 : x
  2. Step 2: Convert to fraction form
    77,054/166,516 = 166,516/x
  3. Step 3: Cross multiply
    77,054x = 166,516 × 166,516
  4. Step 4: Simplify right side
    77,054x = 27,727,578,256
  5. Step 5: Solve for x
    x = 27,727,578,256/77,054
  6. Step 6: Final answer
    x = 359,846.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.