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Finding the Third Proportional to 116,889 and 170,958

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Solution

The third proportional to 116,889 and 170,958 is: 250,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,889 : 170,958 = 170,958 : x
  2. Step 2: Convert to fraction form
    116,889/170,958 = 170,958/x
  3. Step 3: Cross multiply
    116,889x = 170,958 × 170,958
  4. Step 4: Simplify right side
    116,889x = 29,226,637,764
  5. Step 5: Solve for x
    x = 29,226,637,764/116,889
  6. Step 6: Final answer
    x = 250,037.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.