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Finding the Third Proportional to 74,006.50 and 159,852

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Solution

The third proportional to 74,006.50 and 159,852 is: 345,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,006.50 : 159,852 = 159,852 : x
  2. Step 2: Convert to fraction form
    74,006.50/159,852 = 159,852/x
  3. Step 3: Cross multiply
    74,006.50x = 159,852 × 159,852
  4. Step 4: Simplify right side
    74,006.50x = 25,552,661,904
  5. Step 5: Solve for x
    x = 25,552,661,904/74,006.50
  6. Step 6: Final answer
    x = 345,275.91

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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.