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Finding the Third Proportional to 56,158.31 and 122,156.23

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Solution

The third proportional to 56,158.31 and 122,156.23 is: 265,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,158.31 : 122,156.23 = 122,156.23 : x
  2. Step 2: Convert to fraction form
    56,158.31/122,156.23 = 122,156.23/x
  3. Step 3: Cross multiply
    56,158.31x = 122,156.23 × 122,156.23
  4. Step 4: Simplify right side
    56,158.31x = 14,922,143,687.99
  5. Step 5: Solve for x
    x = 14,922,143,687.99/56,158.31
  6. Step 6: Final answer
    x = 265,715.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.