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Finding the Third Proportional to 52,171.81 and 77,950.56

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Solution

The third proportional to 52,171.81 and 77,950.56 is: 116,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,171.81 : 77,950.56 = 77,950.56 : x
  2. Step 2: Convert to fraction form
    52,171.81/77,950.56 = 77,950.56/x
  3. Step 3: Cross multiply
    52,171.81x = 77,950.56 × 77,950.56
  4. Step 4: Simplify right side
    52,171.81x = 6,076,290,194.07
  5. Step 5: Solve for x
    x = 6,076,290,194.07/52,171.81
  6. Step 6: Final answer
    x = 116,466.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.