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Finding the Third Proportional to 49,202 and 75,984

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Solution

The third proportional to 49,202 and 75,984 is: 117,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202 : 75,984 = 75,984 : x
  2. Step 2: Convert to fraction form
    49,202/75,984 = 75,984/x
  3. Step 3: Cross multiply
    49,202x = 75,984 × 75,984
  4. Step 4: Simplify right side
    49,202x = 5,773,568,256
  5. Step 5: Solve for x
    x = 5,773,568,256/49,202
  6. Step 6: Final answer
    x = 117,344.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.