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Finding the Third Proportional to 61,738 and 136,327

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Solution

The third proportional to 61,738 and 136,327 is: 301,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,738 : 136,327 = 136,327 : x
  2. Step 2: Convert to fraction form
    61,738/136,327 = 136,327/x
  3. Step 3: Cross multiply
    61,738x = 136,327 × 136,327
  4. Step 4: Simplify right side
    61,738x = 18,585,050,929
  5. Step 5: Solve for x
    x = 18,585,050,929/61,738
  6. Step 6: Final answer
    x = 301,030.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.