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Finding the Third Proportional to 119,796.75 and 185,465.25

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Solution

The third proportional to 119,796.75 and 185,465.25 is: 287,130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,796.75 : 185,465.25 = 185,465.25 : x
  2. Step 2: Convert to fraction form
    119,796.75/185,465.25 = 185,465.25/x
  3. Step 3: Cross multiply
    119,796.75x = 185,465.25 × 185,465.25
  4. Step 4: Simplify right side
    119,796.75x = 34,397,358,957.56
  5. Step 5: Solve for x
    x = 34,397,358,957.56/119,796.75
  6. Step 6: Final answer
    x = 287,130.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.