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Finding the Third Proportional to 51,527.81 and 76,901.06

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Solution

The third proportional to 51,527.81 and 76,901.06 is: 114,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,527.81 : 76,901.06 = 76,901.06 : x
  2. Step 2: Convert to fraction form
    51,527.81/76,901.06 = 76,901.06/x
  3. Step 3: Cross multiply
    51,527.81x = 76,901.06 × 76,901.06
  4. Step 4: Simplify right side
    51,527.81x = 5,913,773,413.63
  5. Step 5: Solve for x
    x = 5,913,773,413.63/51,527.81
  6. Step 6: Final answer
    x = 114,768.57

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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.