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Finding the Third Proportional to 75,099 and 116,957

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Solution

The third proportional to 75,099 and 116,957 is: 182,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,099 : 116,957 = 116,957 : x
  2. Step 2: Convert to fraction form
    75,099/116,957 = 116,957/x
  3. Step 3: Cross multiply
    75,099x = 116,957 × 116,957
  4. Step 4: Simplify right side
    75,099x = 13,678,939,849
  5. Step 5: Solve for x
    x = 13,678,939,849/75,099
  6. Step 6: Final answer
    x = 182,145.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.