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Finding the Third Proportional to 116,394.75 and 185,967

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Solution

The third proportional to 116,394.75 and 185,967 is: 297,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,394.75 : 185,967 = 185,967 : x
  2. Step 2: Convert to fraction form
    116,394.75/185,967 = 185,967/x
  3. Step 3: Cross multiply
    116,394.75x = 185,967 × 185,967
  4. Step 4: Simplify right side
    116,394.75x = 34,583,725,089
  5. Step 5: Solve for x
    x = 34,583,725,089/116,394.75
  6. Step 6: Final answer
    x = 297,124.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.