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Finding the Third Proportional to 55,206 and 119,154

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Solution

The third proportional to 55,206 and 119,154 is: 257,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206 : 119,154 = 119,154 : x
  2. Step 2: Convert to fraction form
    55,206/119,154 = 119,154/x
  3. Step 3: Cross multiply
    55,206x = 119,154 × 119,154
  4. Step 4: Simplify right side
    55,206x = 14,197,675,716
  5. Step 5: Solve for x
    x = 14,197,675,716/55,206
  6. Step 6: Final answer
    x = 257,176.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.