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Finding the Third Proportional to 65,028 and 103,182

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Solution

The third proportional to 65,028 and 103,182 is: 163,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,028 : 103,182 = 103,182 : x
  2. Step 2: Convert to fraction form
    65,028/103,182 = 103,182/x
  3. Step 3: Cross multiply
    65,028x = 103,182 × 103,182
  4. Step 4: Simplify right side
    65,028x = 10,646,525,124
  5. Step 5: Solve for x
    x = 10,646,525,124/65,028
  6. Step 6: Final answer
    x = 163,722.17

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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.