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Finding the Third Proportional to 74,963.50 and 161,043

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Solution

The third proportional to 74,963.50 and 161,043 is: 345,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,963.50 : 161,043 = 161,043 : x
  2. Step 2: Convert to fraction form
    74,963.50/161,043 = 161,043/x
  3. Step 3: Cross multiply
    74,963.50x = 161,043 × 161,043
  4. Step 4: Simplify right side
    74,963.50x = 25,934,847,849
  5. Step 5: Solve for x
    x = 25,934,847,849/74,963.50
  6. Step 6: Final answer
    x = 345,966.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.