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Finding the Third Proportional to 46,713.75 and 109,668

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Solution

The third proportional to 46,713.75 and 109,668 is: 257,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,713.75 : 109,668 = 109,668 : x
  2. Step 2: Convert to fraction form
    46,713.75/109,668 = 109,668/x
  3. Step 3: Cross multiply
    46,713.75x = 109,668 × 109,668
  4. Step 4: Simplify right side
    46,713.75x = 12,027,070,224
  5. Step 5: Solve for x
    x = 12,027,070,224/46,713.75
  6. Step 6: Final answer
    x = 257,463.17

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.