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Finding the Third Proportional to 29,112.75 and 73,602

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Solution

The third proportional to 29,112.75 and 73,602 is: 186,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,112.75 : 73,602 = 73,602 : x
  2. Step 2: Convert to fraction form
    29,112.75/73,602 = 73,602/x
  3. Step 3: Cross multiply
    29,112.75x = 73,602 × 73,602
  4. Step 4: Simplify right side
    29,112.75x = 5,417,254,404
  5. Step 5: Solve for x
    x = 5,417,254,404/29,112.75
  6. Step 6: Final answer
    x = 186,078.42

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.