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Finding the Third Proportional to 48,207 and 72,026

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Solution

The third proportional to 48,207 and 72,026 is: 107,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,207 : 72,026 = 72,026 : x
  2. Step 2: Convert to fraction form
    48,207/72,026 = 72,026/x
  3. Step 3: Cross multiply
    48,207x = 72,026 × 72,026
  4. Step 4: Simplify right side
    48,207x = 5,187,744,676
  5. Step 5: Solve for x
    x = 5,187,744,676/48,207
  6. Step 6: Final answer
    x = 107,613.93

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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.