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Finding the Third Proportional to 56,945.06 and 120,897.56

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Solution

The third proportional to 56,945.06 and 120,897.56 is: 256,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,945.06 : 120,897.56 = 120,897.56 : x
  2. Step 2: Convert to fraction form
    56,945.06/120,897.56 = 120,897.56/x
  3. Step 3: Cross multiply
    56,945.06x = 120,897.56 × 120,897.56
  4. Step 4: Simplify right side
    56,945.06x = 14,616,220,618.44
  5. Step 5: Solve for x
    x = 14,616,220,618.44/56,945.06
  6. Step 6: Final answer
    x = 256,672.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.