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Finding the Third Proportional to 53,179.88 and 81,158.63

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Solution

The third proportional to 53,179.88 and 81,158.63 is: 123,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,179.88 : 81,158.63 = 81,158.63 : x
  2. Step 2: Convert to fraction form
    53,179.88/81,158.63 = 81,158.63/x
  3. Step 3: Cross multiply
    53,179.88x = 81,158.63 × 81,158.63
  4. Step 4: Simplify right side
    53,179.88x = 6,586,722,411.89
  5. Step 5: Solve for x
    x = 6,586,722,411.89/53,179.88
  6. Step 6: Final answer
    x = 123,857.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.