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Finding the Third Proportional to 80,547.75 and 174,369.38

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Solution

The third proportional to 80,547.75 and 174,369.38 is: 377,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,547.75 : 174,369.38 = 174,369.38 : x
  2. Step 2: Convert to fraction form
    80,547.75/174,369.38 = 174,369.38/x
  3. Step 3: Cross multiply
    80,547.75x = 174,369.38 × 174,369.38
  4. Step 4: Simplify right side
    80,547.75x = 30,404,678,937.89
  5. Step 5: Solve for x
    x = 30,404,678,937.89/80,547.75
  6. Step 6: Final answer
    x = 377,473.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.