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Finding the Third Proportional to 48,270 and 76,614

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Solution

The third proportional to 48,270 and 76,614 is: 121,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,270 : 76,614 = 76,614 : x
  2. Step 2: Convert to fraction form
    48,270/76,614 = 76,614/x
  3. Step 3: Cross multiply
    48,270x = 76,614 × 76,614
  4. Step 4: Simplify right side
    48,270x = 5,869,704,996
  5. Step 5: Solve for x
    x = 5,869,704,996/48,270
  6. Step 6: Final answer
    x = 121,601.51

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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.