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Finding the Third Proportional to 83,541 and 183,690

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Solution

The third proportional to 83,541 and 183,690 is: 403,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,541 : 183,690 = 183,690 : x
  2. Step 2: Convert to fraction form
    83,541/183,690 = 183,690/x
  3. Step 3: Cross multiply
    83,541x = 183,690 × 183,690
  4. Step 4: Simplify right side
    83,541x = 33,742,016,100
  5. Step 5: Solve for x
    x = 33,742,016,100/83,541
  6. Step 6: Final answer
    x = 403,897.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.