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Finding the Third Proportional to 74,791.56 and 114,955.26

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Solution

The third proportional to 74,791.56 and 114,955.26 is: 176,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,791.56 : 114,955.26 = 114,955.26 : x
  2. Step 2: Convert to fraction form
    74,791.56/114,955.26 = 114,955.26/x
  3. Step 3: Cross multiply
    74,791.56x = 114,955.26 × 114,955.26
  4. Step 4: Simplify right side
    74,791.56x = 13,214,710,737.43
  5. Step 5: Solve for x
    x = 13,214,710,737.43/74,791.56
  6. Step 6: Final answer
    x = 176,687.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.