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Finding the Third Proportional to 116,042 and 174,987

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Solution

The third proportional to 116,042 and 174,987 is: 263,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,042 : 174,987 = 174,987 : x
  2. Step 2: Convert to fraction form
    116,042/174,987 = 174,987/x
  3. Step 3: Cross multiply
    116,042x = 174,987 × 174,987
  4. Step 4: Simplify right side
    116,042x = 30,620,450,169
  5. Step 5: Solve for x
    x = 30,620,450,169/116,042
  6. Step 6: Final answer
    x = 263,873.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.