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Finding the Third Proportional to 62,730 and 138,096

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Solution

The third proportional to 62,730 and 138,096 is: 304,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,730 : 138,096 = 138,096 : x
  2. Step 2: Convert to fraction form
    62,730/138,096 = 138,096/x
  3. Step 3: Cross multiply
    62,730x = 138,096 × 138,096
  4. Step 4: Simplify right side
    62,730x = 19,070,505,216
  5. Step 5: Solve for x
    x = 19,070,505,216/62,730
  6. Step 6: Final answer
    x = 304,009.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.