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Finding the Third Proportional to 72,617 and 116,987

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Solution

The third proportional to 72,617 and 116,987 is: 188,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,617 : 116,987 = 116,987 : x
  2. Step 2: Convert to fraction form
    72,617/116,987 = 116,987/x
  3. Step 3: Cross multiply
    72,617x = 116,987 × 116,987
  4. Step 4: Simplify right side
    72,617x = 13,685,958,169
  5. Step 5: Solve for x
    x = 13,685,958,169/72,617
  6. Step 6: Final answer
    x = 188,467.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.