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Finding the Third Proportional to 45,091.69 and 74,661.75

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Solution

The third proportional to 45,091.69 and 74,661.75 is: 123,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,091.69 : 74,661.75 = 74,661.75 : x
  2. Step 2: Convert to fraction form
    45,091.69/74,661.75 = 74,661.75/x
  3. Step 3: Cross multiply
    45,091.69x = 74,661.75 × 74,661.75
  4. Step 4: Simplify right side
    45,091.69x = 5,574,376,913.06
  5. Step 5: Solve for x
    x = 5,574,376,913.06/45,091.69
  6. Step 6: Final answer
    x = 123,623.16

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.