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Finding the Third Proportional to 46,853.25 and 74,937.75

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Solution

The third proportional to 46,853.25 and 74,937.75 is: 119,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,853.25 : 74,937.75 = 74,937.75 : x
  2. Step 2: Convert to fraction form
    46,853.25/74,937.75 = 74,937.75/x
  3. Step 3: Cross multiply
    46,853.25x = 74,937.75 × 74,937.75
  4. Step 4: Simplify right side
    46,853.25x = 5,615,666,375.06
  5. Step 5: Solve for x
    x = 5,615,666,375.06/46,853.25
  6. Step 6: Final answer
    x = 119,856.50

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.