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Finding the Third Proportional to 49,909 and 75,066

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Solution

The third proportional to 49,909 and 75,066 is: 112,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,909 : 75,066 = 75,066 : x
  2. Step 2: Convert to fraction form
    49,909/75,066 = 75,066/x
  3. Step 3: Cross multiply
    49,909x = 75,066 × 75,066
  4. Step 4: Simplify right side
    49,909x = 5,634,904,356
  5. Step 5: Solve for x
    x = 5,634,904,356/49,909
  6. Step 6: Final answer
    x = 112,903.57

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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.