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Finding the Third Proportional to 119,525.63 and 162,415.13

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Solution

The third proportional to 119,525.63 and 162,415.13 is: 220,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,525.63 : 162,415.13 = 162,415.13 : x
  2. Step 2: Convert to fraction form
    119,525.63/162,415.13 = 162,415.13/x
  3. Step 3: Cross multiply
    119,525.63x = 162,415.13 × 162,415.13
  4. Step 4: Simplify right side
    119,525.63x = 26,378,672,828.77
  5. Step 5: Solve for x
    x = 26,378,672,828.77/119,525.63
  6. Step 6: Final answer
    x = 220,694.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.