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Finding the Third Proportional to 56,212 and 130,138

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Solution

The third proportional to 56,212 and 130,138 is: 301,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,212 : 130,138 = 130,138 : x
  2. Step 2: Convert to fraction form
    56,212/130,138 = 130,138/x
  3. Step 3: Cross multiply
    56,212x = 130,138 × 130,138
  4. Step 4: Simplify right side
    56,212x = 16,935,899,044
  5. Step 5: Solve for x
    x = 16,935,899,044/56,212
  6. Step 6: Final answer
    x = 301,286.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.