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Finding the Third Proportional to 85,524 and 128,664

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Solution

The third proportional to 85,524 and 128,664 is: 193,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,524 : 128,664 = 128,664 : x
  2. Step 2: Convert to fraction form
    85,524/128,664 = 128,664/x
  3. Step 3: Cross multiply
    85,524x = 128,664 × 128,664
  4. Step 4: Simplify right side
    85,524x = 16,554,424,896
  5. Step 5: Solve for x
    x = 16,554,424,896/85,524
  6. Step 6: Final answer
    x = 193,564.67

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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.