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Finding the Third Proportional to 55,157 and 119,063

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Solution

The third proportional to 55,157 and 119,063 is: 257,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,157 : 119,063 = 119,063 : x
  2. Step 2: Convert to fraction form
    55,157/119,063 = 119,063/x
  3. Step 3: Cross multiply
    55,157x = 119,063 × 119,063
  4. Step 4: Simplify right side
    55,157x = 14,175,997,969
  5. Step 5: Solve for x
    x = 14,175,997,969/55,157
  6. Step 6: Final answer
    x = 257,011.77

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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.