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Finding the Third Proportional to 45,747 and 73,055.25

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Solution

The third proportional to 45,747 and 73,055.25 is: 116,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,747 : 73,055.25 = 73,055.25 : x
  2. Step 2: Convert to fraction form
    45,747/73,055.25 = 73,055.25/x
  3. Step 3: Cross multiply
    45,747x = 73,055.25 × 73,055.25
  4. Step 4: Simplify right side
    45,747x = 5,337,069,552.56
  5. Step 5: Solve for x
    x = 5,337,069,552.56/45,747
  6. Step 6: Final answer
    x = 116,664.91

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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.