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Finding the Third Proportional to 48,201 and 72,017

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Solution

The third proportional to 48,201 and 72,017 is: 107,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,201 : 72,017 = 72,017 : x
  2. Step 2: Convert to fraction form
    48,201/72,017 = 72,017/x
  3. Step 3: Cross multiply
    48,201x = 72,017 × 72,017
  4. Step 4: Simplify right side
    48,201x = 5,186,448,289
  5. Step 5: Solve for x
    x = 5,186,448,289/48,201
  6. Step 6: Final answer
    x = 107,600.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.