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Finding the Third Proportional to 47,958 and 75,066

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Solution

The third proportional to 47,958 and 75,066 is: 117,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,958 : 75,066 = 75,066 : x
  2. Step 2: Convert to fraction form
    47,958/75,066 = 75,066/x
  3. Step 3: Cross multiply
    47,958x = 75,066 × 75,066
  4. Step 4: Simplify right side
    47,958x = 5,634,904,356
  5. Step 5: Solve for x
    x = 5,634,904,356/47,958
  6. Step 6: Final answer
    x = 117,496.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.