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Finding the Third Proportional to 77,514 and 163,732

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Solution

The third proportional to 77,514 and 163,732 is: 345,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,514 : 163,732 = 163,732 : x
  2. Step 2: Convert to fraction form
    77,514/163,732 = 163,732/x
  3. Step 3: Cross multiply
    77,514x = 163,732 × 163,732
  4. Step 4: Simplify right side
    77,514x = 26,808,167,824
  5. Step 5: Solve for x
    x = 26,808,167,824/77,514
  6. Step 6: Final answer
    x = 345,849.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.