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Finding the Third Proportional to 34,043 and 73,552

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Solution

The third proportional to 34,043 and 73,552 is: 158,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,043 : 73,552 = 73,552 : x
  2. Step 2: Convert to fraction form
    34,043/73,552 = 73,552/x
  3. Step 3: Cross multiply
    34,043x = 73,552 × 73,552
  4. Step 4: Simplify right side
    34,043x = 5,409,896,704
  5. Step 5: Solve for x
    x = 5,409,896,704/34,043
  6. Step 6: Final answer
    x = 158,913.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.