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Finding the Third Proportional to 103,633 and 128,571

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Solution

The third proportional to 103,633 and 128,571 is: 159,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633 : 128,571 = 128,571 : x
  2. Step 2: Convert to fraction form
    103,633/128,571 = 128,571/x
  3. Step 3: Cross multiply
    103,633x = 128,571 × 128,571
  4. Step 4: Simplify right side
    103,633x = 16,530,502,041
  5. Step 5: Solve for x
    x = 16,530,502,041/103,633
  6. Step 6: Final answer
    x = 159,510.02

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.