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Finding the Third Proportional to 74,807 and 162,329.75

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Solution

The third proportional to 74,807 and 162,329.75 is: 352,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,807 : 162,329.75 = 162,329.75 : x
  2. Step 2: Convert to fraction form
    74,807/162,329.75 = 162,329.75/x
  3. Step 3: Cross multiply
    74,807x = 162,329.75 × 162,329.75
  4. Step 4: Simplify right side
    74,807x = 26,350,947,735.06
  5. Step 5: Solve for x
    x = 26,350,947,735.06/74,807
  6. Step 6: Final answer
    x = 352,252.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.