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Finding the Third Proportional to 48,291 and 72,159

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Solution

The third proportional to 48,291 and 72,159 is: 107,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,291 : 72,159 = 72,159 : x
  2. Step 2: Convert to fraction form
    48,291/72,159 = 72,159/x
  3. Step 3: Cross multiply
    48,291x = 72,159 × 72,159
  4. Step 4: Simplify right side
    48,291x = 5,206,921,281
  5. Step 5: Solve for x
    x = 5,206,921,281/48,291
  6. Step 6: Final answer
    x = 107,823.84

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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.