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Finding the Third Proportional to 48,149 and 72,369

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Solution

The third proportional to 48,149 and 72,369 is: 108,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,149 : 72,369 = 72,369 : x
  2. Step 2: Convert to fraction form
    48,149/72,369 = 72,369/x
  3. Step 3: Cross multiply
    48,149x = 72,369 × 72,369
  4. Step 4: Simplify right side
    48,149x = 5,237,272,161
  5. Step 5: Solve for x
    x = 5,237,272,161/48,149
  6. Step 6: Final answer
    x = 108,772.19

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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.