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Finding the Third Proportional to 136,056 and 204,221

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Solution

The third proportional to 136,056 and 204,221 is: 306,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,056 : 204,221 = 204,221 : x
  2. Step 2: Convert to fraction form
    136,056/204,221 = 204,221/x
  3. Step 3: Cross multiply
    136,056x = 204,221 × 204,221
  4. Step 4: Simplify right side
    136,056x = 41,706,216,841
  5. Step 5: Solve for x
    x = 41,706,216,841/136,056
  6. Step 6: Final answer
    x = 306,537.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.