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Finding the Third Proportional to 131,292.75 and 146,055

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Solution

The third proportional to 131,292.75 and 146,055 is: 162,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,292.75 : 146,055 = 146,055 : x
  2. Step 2: Convert to fraction form
    131,292.75/146,055 = 146,055/x
  3. Step 3: Cross multiply
    131,292.75x = 146,055 × 146,055
  4. Step 4: Simplify right side
    131,292.75x = 21,332,063,025
  5. Step 5: Solve for x
    x = 21,332,063,025/131,292.75
  6. Step 6: Final answer
    x = 162,477.08

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.