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Finding the Third Proportional to 77,045 and 168,268

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Solution

The third proportional to 77,045 and 168,268 is: 367,501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,045 : 168,268 = 168,268 : x
  2. Step 2: Convert to fraction form
    77,045/168,268 = 168,268/x
  3. Step 3: Cross multiply
    77,045x = 168,268 × 168,268
  4. Step 4: Simplify right side
    77,045x = 28,314,119,824
  5. Step 5: Solve for x
    x = 28,314,119,824/77,045
  6. Step 6: Final answer
    x = 367,501.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.