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Finding the Third Proportional to 77,056 and 168,800

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Solution

The third proportional to 77,056 and 168,800 is: 369,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,056 : 168,800 = 168,800 : x
  2. Step 2: Convert to fraction form
    77,056/168,800 = 168,800/x
  3. Step 3: Cross multiply
    77,056x = 168,800 × 168,800
  4. Step 4: Simplify right side
    77,056x = 28,493,440,000
  5. Step 5: Solve for x
    x = 28,493,440,000/77,056
  6. Step 6: Final answer
    x = 369,775.75

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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.