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Finding the Third Proportional to 119,607.75 and 162,509.63

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Solution

The third proportional to 119,607.75 and 162,509.63 is: 220,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,607.75 : 162,509.63 = 162,509.63 : x
  2. Step 2: Convert to fraction form
    119,607.75/162,509.63 = 162,509.63/x
  3. Step 3: Cross multiply
    119,607.75x = 162,509.63 × 162,509.63
  4. Step 4: Simplify right side
    119,607.75x = 26,409,378,217.64
  5. Step 5: Solve for x
    x = 26,409,378,217.64/119,607.75
  6. Step 6: Final answer
    x = 220,799.89

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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.