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Finding the Third Proportional to 53,408 and 82,656

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Solution

The third proportional to 53,408 and 82,656 is: 127,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408 : 82,656 = 82,656 : x
  2. Step 2: Convert to fraction form
    53,408/82,656 = 82,656/x
  3. Step 3: Cross multiply
    53,408x = 82,656 × 82,656
  4. Step 4: Simplify right side
    53,408x = 6,832,014,336
  5. Step 5: Solve for x
    x = 6,832,014,336/53,408
  6. Step 6: Final answer
    x = 127,921.18

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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.