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Finding the Third Proportional to 95,980.50 and 149,406.75

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Solution

The third proportional to 95,980.50 and 149,406.75 is: 232,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,980.50 : 149,406.75 = 149,406.75 : x
  2. Step 2: Convert to fraction form
    95,980.50/149,406.75 = 149,406.75/x
  3. Step 3: Cross multiply
    95,980.50x = 149,406.75 × 149,406.75
  4. Step 4: Simplify right side
    95,980.50x = 22,322,376,945.56
  5. Step 5: Solve for x
    x = 22,322,376,945.56/95,980.50
  6. Step 6: Final answer
    x = 232,572.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.