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Finding the Third Proportional to 45,842.63 and 68,276.25

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Solution

The third proportional to 45,842.63 and 68,276.25 is: 101,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,842.63 : 68,276.25 = 68,276.25 : x
  2. Step 2: Convert to fraction form
    45,842.63/68,276.25 = 68,276.25/x
  3. Step 3: Cross multiply
    45,842.63x = 68,276.25 × 68,276.25
  4. Step 4: Simplify right side
    45,842.63x = 4,661,646,314.06
  5. Step 5: Solve for x
    x = 4,661,646,314.06/45,842.63
  6. Step 6: Final answer
    x = 101,688.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.