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Finding the Third Proportional to 61,424 and 129,036

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Solution

The third proportional to 61,424 and 129,036 is: 271,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424 : 129,036 = 129,036 : x
  2. Step 2: Convert to fraction form
    61,424/129,036 = 129,036/x
  3. Step 3: Cross multiply
    61,424x = 129,036 × 129,036
  4. Step 4: Simplify right side
    61,424x = 16,650,289,296
  5. Step 5: Solve for x
    x = 16,650,289,296/61,424
  6. Step 6: Final answer
    x = 271,071.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.