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Finding the Third Proportional to 48,149 and 69,354

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Solution

The third proportional to 48,149 and 69,354 is: 99,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,149 : 69,354 = 69,354 : x
  2. Step 2: Convert to fraction form
    48,149/69,354 = 69,354/x
  3. Step 3: Cross multiply
    48,149x = 69,354 × 69,354
  4. Step 4: Simplify right side
    48,149x = 4,809,977,316
  5. Step 5: Solve for x
    x = 4,809,977,316/48,149
  6. Step 6: Final answer
    x = 99,897.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.