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Finding the Third Proportional to 53,057 and 79,580

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Solution

The third proportional to 53,057 and 79,580 is: 119,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,057 : 79,580 = 79,580 : x
  2. Step 2: Convert to fraction form
    53,057/79,580 = 79,580/x
  3. Step 3: Cross multiply
    53,057x = 79,580 × 79,580
  4. Step 4: Simplify right side
    53,057x = 6,332,976,400
  5. Step 5: Solve for x
    x = 6,332,976,400/53,057
  6. Step 6: Final answer
    x = 119,361.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.