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Finding the Third Proportional to 56,193.75 and 119,539.13

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Solution

The third proportional to 56,193.75 and 119,539.13 is: 254,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,193.75 : 119,539.13 = 119,539.13 : x
  2. Step 2: Convert to fraction form
    56,193.75/119,539.13 = 119,539.13/x
  3. Step 3: Cross multiply
    56,193.75x = 119,539.13 × 119,539.13
  4. Step 4: Simplify right side
    56,193.75x = 14,289,602,405.77
  5. Step 5: Solve for x
    x = 14,289,602,405.77/56,193.75
  6. Step 6: Final answer
    x = 254,291.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.