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Finding the Third Proportional to 74,583 and 163,047

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Solution

The third proportional to 74,583 and 163,047 is: 356,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,583 : 163,047 = 163,047 : x
  2. Step 2: Convert to fraction form
    74,583/163,047 = 163,047/x
  3. Step 3: Cross multiply
    74,583x = 163,047 × 163,047
  4. Step 4: Simplify right side
    74,583x = 26,584,324,209
  5. Step 5: Solve for x
    x = 26,584,324,209/74,583
  6. Step 6: Final answer
    x = 356,439.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.