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Finding the Third Proportional to 56,219.06 and 120,775.13

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Solution

The third proportional to 56,219.06 and 120,775.13 is: 259,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,219.06 : 120,775.13 = 120,775.13 : x
  2. Step 2: Convert to fraction form
    56,219.06/120,775.13 = 120,775.13/x
  3. Step 3: Cross multiply
    56,219.06x = 120,775.13 × 120,775.13
  4. Step 4: Simplify right side
    56,219.06x = 14,586,630,818.77
  5. Step 5: Solve for x
    x = 14,586,630,818.77/56,219.06
  6. Step 6: Final answer
    x = 259,460.58

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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.