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Finding the Third Proportional to 61,872 and 134,896

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Solution

The third proportional to 61,872 and 134,896 is: 294,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,872 : 134,896 = 134,896 : x
  2. Step 2: Convert to fraction form
    61,872/134,896 = 134,896/x
  3. Step 3: Cross multiply
    61,872x = 134,896 × 134,896
  4. Step 4: Simplify right side
    61,872x = 18,196,930,816
  5. Step 5: Solve for x
    x = 18,196,930,816/61,872
  6. Step 6: Final answer
    x = 294,106.07

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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.