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Finding the Third Proportional to 120,723 and 177,580

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Solution

The third proportional to 120,723 and 177,580 is: 261,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,723 : 177,580 = 177,580 : x
  2. Step 2: Convert to fraction form
    120,723/177,580 = 177,580/x
  3. Step 3: Cross multiply
    120,723x = 177,580 × 177,580
  4. Step 4: Simplify right side
    120,723x = 31,534,656,400
  5. Step 5: Solve for x
    x = 31,534,656,400/120,723
  6. Step 6: Final answer
    x = 261,214.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.