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Finding the Third Proportional to 65,232 and 103,685

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Solution

The third proportional to 65,232 and 103,685 is: 164,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232 : 103,685 = 103,685 : x
  2. Step 2: Convert to fraction form
    65,232/103,685 = 103,685/x
  3. Step 3: Cross multiply
    65,232x = 103,685 × 103,685
  4. Step 4: Simplify right side
    65,232x = 10,750,579,225
  5. Step 5: Solve for x
    x = 10,750,579,225/65,232
  6. Step 6: Final answer
    x = 164,805.30

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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.