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Finding the Third Proportional to 61,286 and 128,754

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Solution

The third proportional to 61,286 and 128,754 is: 270,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,286 : 128,754 = 128,754 : x
  2. Step 2: Convert to fraction form
    61,286/128,754 = 128,754/x
  3. Step 3: Cross multiply
    61,286x = 128,754 × 128,754
  4. Step 4: Simplify right side
    61,286x = 16,577,592,516
  5. Step 5: Solve for x
    x = 16,577,592,516/61,286
  6. Step 6: Final answer
    x = 270,495.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.