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Finding the Third Proportional to 45,957 and 73,734.50

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Solution

The third proportional to 45,957 and 73,734.50 is: 118,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,957 : 73,734.50 = 73,734.50 : x
  2. Step 2: Convert to fraction form
    45,957/73,734.50 = 73,734.50/x
  3. Step 3: Cross multiply
    45,957x = 73,734.50 × 73,734.50
  4. Step 4: Simplify right side
    45,957x = 5,436,776,490.25
  5. Step 5: Solve for x
    x = 5,436,776,490.25/45,957
  6. Step 6: Final answer
    x = 118,301.38

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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.