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Finding the Third Proportional to 65,459 and 103,818

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Solution

The third proportional to 65,459 and 103,818 is: 164,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,459 : 103,818 = 103,818 : x
  2. Step 2: Convert to fraction form
    65,459/103,818 = 103,818/x
  3. Step 3: Cross multiply
    65,459x = 103,818 × 103,818
  4. Step 4: Simplify right side
    65,459x = 10,778,177,124
  5. Step 5: Solve for x
    x = 10,778,177,124/65,459
  6. Step 6: Final answer
    x = 164,655.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.