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Finding the Third Proportional to 53,246 and 82,758

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Solution

The third proportional to 53,246 and 82,758 is: 128,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,246 : 82,758 = 82,758 : x
  2. Step 2: Convert to fraction form
    53,246/82,758 = 82,758/x
  3. Step 3: Cross multiply
    53,246x = 82,758 × 82,758
  4. Step 4: Simplify right side
    53,246x = 6,848,886,564
  5. Step 5: Solve for x
    x = 6,848,886,564/53,246
  6. Step 6: Final answer
    x = 128,627.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.