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Finding the Third Proportional to 109,683 and 165,874.50

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Solution

The third proportional to 109,683 and 165,874.50 is: 250,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,683 : 165,874.50 = 165,874.50 : x
  2. Step 2: Convert to fraction form
    109,683/165,874.50 = 165,874.50/x
  3. Step 3: Cross multiply
    109,683x = 165,874.50 × 165,874.50
  4. Step 4: Simplify right side
    109,683x = 27,514,349,750.25
  5. Step 5: Solve for x
    x = 27,514,349,750.25/109,683
  6. Step 6: Final answer
    x = 250,853.37

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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.