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Finding the Third Proportional to 59,256 and 119,808

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Solution

The third proportional to 59,256 and 119,808 is: 242,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,256 : 119,808 = 119,808 : x
  2. Step 2: Convert to fraction form
    59,256/119,808 = 119,808/x
  3. Step 3: Cross multiply
    59,256x = 119,808 × 119,808
  4. Step 4: Simplify right side
    59,256x = 14,353,956,864
  5. Step 5: Solve for x
    x = 14,353,956,864/59,256
  6. Step 6: Final answer
    x = 242,236.35

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.