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Finding the Third Proportional to 55,858 and 119,712

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Solution

The third proportional to 55,858 and 119,712 is: 256,560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,858 : 119,712 = 119,712 : x
  2. Step 2: Convert to fraction form
    55,858/119,712 = 119,712/x
  3. Step 3: Cross multiply
    55,858x = 119,712 × 119,712
  4. Step 4: Simplify right side
    55,858x = 14,330,962,944
  5. Step 5: Solve for x
    x = 14,330,962,944/55,858
  6. Step 6: Final answer
    x = 256,560.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.