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Finding the Third Proportional to 48,646 and 72,860

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Solution

The third proportional to 48,646 and 72,860 is: 109,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,646 : 72,860 = 72,860 : x
  2. Step 2: Convert to fraction form
    48,646/72,860 = 72,860/x
  3. Step 3: Cross multiply
    48,646x = 72,860 × 72,860
  4. Step 4: Simplify right side
    48,646x = 5,308,579,600
  5. Step 5: Solve for x
    x = 5,308,579,600/48,646
  6. Step 6: Final answer
    x = 109,126.74

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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.