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Finding the Third Proportional to 61,056 and 128,672

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Solution

The third proportional to 61,056 and 128,672 is: 271,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,056 : 128,672 = 128,672 : x
  2. Step 2: Convert to fraction form
    61,056/128,672 = 128,672/x
  3. Step 3: Cross multiply
    61,056x = 128,672 × 128,672
  4. Step 4: Simplify right side
    61,056x = 16,556,483,584
  5. Step 5: Solve for x
    x = 16,556,483,584/61,056
  6. Step 6: Final answer
    x = 271,168.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.