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Finding the Third Proportional to 65,230 and 103,681

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Solution

The third proportional to 65,230 and 103,681 is: 164,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230 : 103,681 = 103,681 : x
  2. Step 2: Convert to fraction form
    65,230/103,681 = 103,681/x
  3. Step 3: Cross multiply
    65,230x = 103,681 × 103,681
  4. Step 4: Simplify right side
    65,230x = 10,749,749,761
  5. Step 5: Solve for x
    x = 10,749,749,761/65,230
  6. Step 6: Final answer
    x = 164,797.64

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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.