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Finding the Third Proportional to 118,435.50 and 153,663.75

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Solution

The third proportional to 118,435.50 and 153,663.75 is: 199,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,435.50 : 153,663.75 = 153,663.75 : x
  2. Step 2: Convert to fraction form
    118,435.50/153,663.75 = 153,663.75/x
  3. Step 3: Cross multiply
    118,435.50x = 153,663.75 × 153,663.75
  4. Step 4: Simplify right side
    118,435.50x = 23,612,548,064.06
  5. Step 5: Solve for x
    x = 23,612,548,064.06/118,435.50
  6. Step 6: Final answer
    x = 199,370.53

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.