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Finding the Third Proportional to 47,729.81 and 94,254.75

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Solution

The third proportional to 47,729.81 and 94,254.75 is: 186,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,729.81 : 94,254.75 = 94,254.75 : x
  2. Step 2: Convert to fraction form
    47,729.81/94,254.75 = 94,254.75/x
  3. Step 3: Cross multiply
    47,729.81x = 94,254.75 × 94,254.75
  4. Step 4: Simplify right side
    47,729.81x = 8,883,957,897.56
  5. Step 5: Solve for x
    x = 8,883,957,897.56/47,729.81
  6. Step 6: Final answer
    x = 186,130.17

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.