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Finding the Third Proportional to 45,943.50 and 73,290

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Solution

The third proportional to 45,943.50 and 73,290 is: 116,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,943.50 : 73,290 = 73,290 : x
  2. Step 2: Convert to fraction form
    45,943.50/73,290 = 73,290/x
  3. Step 3: Cross multiply
    45,943.50x = 73,290 × 73,290
  4. Step 4: Simplify right side
    45,943.50x = 5,371,424,100
  5. Step 5: Solve for x
    x = 5,371,424,100/45,943.50
  6. Step 6: Final answer
    x = 116,913.69

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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.