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Finding the Third Proportional to 121,992.75 and 177,430.50

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Solution

The third proportional to 121,992.75 and 177,430.50 is: 258,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,992.75 : 177,430.50 = 177,430.50 : x
  2. Step 2: Convert to fraction form
    121,992.75/177,430.50 = 177,430.50/x
  3. Step 3: Cross multiply
    121,992.75x = 177,430.50 × 177,430.50
  4. Step 4: Simplify right side
    121,992.75x = 31,481,582,330.25
  5. Step 5: Solve for x
    x = 31,481,582,330.25/121,992.75
  6. Step 6: Final answer
    x = 258,061.09

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.