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Finding the Third Proportional to 65,448 and 103,804

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Solution

The third proportional to 65,448 and 103,804 is: 164,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,448 : 103,804 = 103,804 : x
  2. Step 2: Convert to fraction form
    65,448/103,804 = 103,804/x
  3. Step 3: Cross multiply
    65,448x = 103,804 × 103,804
  4. Step 4: Simplify right side
    65,448x = 10,775,270,416
  5. Step 5: Solve for x
    x = 10,775,270,416/65,448
  6. Step 6: Final answer
    x = 164,638.65

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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.