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Finding the Third Proportional to 56,178.56 and 120,353.34

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Solution

The third proportional to 56,178.56 and 120,353.34 is: 257,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,178.56 : 120,353.34 = 120,353.34 : x
  2. Step 2: Convert to fraction form
    56,178.56/120,353.34 = 120,353.34/x
  3. Step 3: Cross multiply
    56,178.56x = 120,353.34 × 120,353.34
  4. Step 4: Simplify right side
    56,178.56x = 14,484,927,351.81
  5. Step 5: Solve for x
    x = 14,484,927,351.81/56,178.56
  6. Step 6: Final answer
    x = 257,837.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.