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Finding the Third Proportional to 54,714 and 119,013

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Solution

The third proportional to 54,714 and 119,013 is: 258,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,714 : 119,013 = 119,013 : x
  2. Step 2: Convert to fraction form
    54,714/119,013 = 119,013/x
  3. Step 3: Cross multiply
    54,714x = 119,013 × 119,013
  4. Step 4: Simplify right side
    54,714x = 14,164,094,169
  5. Step 5: Solve for x
    x = 14,164,094,169/54,714
  6. Step 6: Final answer
    x = 258,875.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.