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Finding the Third Proportional to 86,724 and 129,735

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Solution

The third proportional to 86,724 and 129,735 is: 194,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,724 : 129,735 = 129,735 : x
  2. Step 2: Convert to fraction form
    86,724/129,735 = 129,735/x
  3. Step 3: Cross multiply
    86,724x = 129,735 × 129,735
  4. Step 4: Simplify right side
    86,724x = 16,831,170,225
  5. Step 5: Solve for x
    x = 16,831,170,225/86,724
  6. Step 6: Final answer
    x = 194,077.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.