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Finding the Third Proportional to 61,407 and 133,627

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Solution

The third proportional to 61,407 and 133,627 is: 290,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,407 : 133,627 = 133,627 : x
  2. Step 2: Convert to fraction form
    61,407/133,627 = 133,627/x
  3. Step 3: Cross multiply
    61,407x = 133,627 × 133,627
  4. Step 4: Simplify right side
    61,407x = 17,856,175,129
  5. Step 5: Solve for x
    x = 17,856,175,129/61,407
  6. Step 6: Final answer
    x = 290,784.03

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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.