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Finding the Third Proportional to 74,148.75 and 174,870.56

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Solution

The third proportional to 74,148.75 and 174,870.56 is: 412,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,148.75 : 174,870.56 = 174,870.56 : x
  2. Step 2: Convert to fraction form
    74,148.75/174,870.56 = 174,870.56/x
  3. Step 3: Cross multiply
    74,148.75x = 174,870.56 × 174,870.56
  4. Step 4: Simplify right side
    74,148.75x = 30,579,713,629.07
  5. Step 5: Solve for x
    x = 30,579,713,629.07/74,148.75
  6. Step 6: Final answer
    x = 412,410.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.