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Finding the Third Proportional to 121,023.75 and 177,647.63

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Solution

The third proportional to 121,023.75 and 177,647.63 is: 260,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,023.75 : 177,647.63 = 177,647.63 : x
  2. Step 2: Convert to fraction form
    121,023.75/177,647.63 = 177,647.63/x
  3. Step 3: Cross multiply
    121,023.75x = 177,647.63 × 177,647.63
  4. Step 4: Simplify right side
    121,023.75x = 31,558,678,668.14
  5. Step 5: Solve for x
    x = 31,558,678,668.14/121,023.75
  6. Step 6: Final answer
    x = 260,764.34

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