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Finding the Third Proportional to 74,037.80 and 159,897.80

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Solution

The third proportional to 74,037.80 and 159,897.80 is: 345,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,037.80 : 159,897.80 = 159,897.80 : x
  2. Step 2: Convert to fraction form
    74,037.80/159,897.80 = 159,897.80/x
  3. Step 3: Cross multiply
    74,037.80x = 159,897.80 × 159,897.80
  4. Step 4: Simplify right side
    74,037.80x = 25,567,305,445.48
  5. Step 5: Solve for x
    x = 25,567,305,445.48/74,037.80
  6. Step 6: Final answer
    x = 345,327.75

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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.