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Finding the Third Proportional to 65,416 and 103,625

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Solution

The third proportional to 65,416 and 103,625 is: 164,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,416 : 103,625 = 103,625 : x
  2. Step 2: Convert to fraction form
    65,416/103,625 = 103,625/x
  3. Step 3: Cross multiply
    65,416x = 103,625 × 103,625
  4. Step 4: Simplify right side
    65,416x = 10,738,140,625
  5. Step 5: Solve for x
    x = 10,738,140,625/65,416
  6. Step 6: Final answer
    x = 164,151.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.