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Finding the Third Proportional to 112,986 and 165,975

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Solution

The third proportional to 112,986 and 165,975 is: 243,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,986 : 165,975 = 165,975 : x
  2. Step 2: Convert to fraction form
    112,986/165,975 = 165,975/x
  3. Step 3: Cross multiply
    112,986x = 165,975 × 165,975
  4. Step 4: Simplify right side
    112,986x = 27,547,700,625
  5. Step 5: Solve for x
    x = 27,547,700,625/112,986
  6. Step 6: Final answer
    x = 243,815.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.