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Finding the Third Proportional to 95,077.50 and 146,153.25

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Solution

The third proportional to 95,077.50 and 146,153.25 is: 224,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,077.50 : 146,153.25 = 146,153.25 : x
  2. Step 2: Convert to fraction form
    95,077.50/146,153.25 = 146,153.25/x
  3. Step 3: Cross multiply
    95,077.50x = 146,153.25 × 146,153.25
  4. Step 4: Simplify right side
    95,077.50x = 21,360,772,485.56
  5. Step 5: Solve for x
    x = 21,360,772,485.56/95,077.50
  6. Step 6: Final answer
    x = 224,666.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.