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Finding the Third Proportional to 61,424 and 132,544

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Solution

The third proportional to 61,424 and 132,544 is: 286,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424 : 132,544 = 132,544 : x
  2. Step 2: Convert to fraction form
    61,424/132,544 = 132,544/x
  3. Step 3: Cross multiply
    61,424x = 132,544 × 132,544
  4. Step 4: Simplify right side
    61,424x = 17,567,911,936
  5. Step 5: Solve for x
    x = 17,567,911,936/61,424
  6. Step 6: Final answer
    x = 286,010.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.