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Finding the Third Proportional to 95,913 and 142,008.75

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Solution

The third proportional to 95,913 and 142,008.75 is: 210,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,913 : 142,008.75 = 142,008.75 : x
  2. Step 2: Convert to fraction form
    95,913/142,008.75 = 142,008.75/x
  3. Step 3: Cross multiply
    95,913x = 142,008.75 × 142,008.75
  4. Step 4: Simplify right side
    95,913x = 20,166,485,076.56
  5. Step 5: Solve for x
    x = 20,166,485,076.56/95,913
  6. Step 6: Final answer
    x = 210,258.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.