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Finding the Third Proportional to 43,306 and 83,411

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Solution

The third proportional to 43,306 and 83,411 is: 160,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,306 : 83,411 = 83,411 : x
  2. Step 2: Convert to fraction form
    43,306/83,411 = 83,411/x
  3. Step 3: Cross multiply
    43,306x = 83,411 × 83,411
  4. Step 4: Simplify right side
    43,306x = 6,957,394,921
  5. Step 5: Solve for x
    x = 6,957,394,921/43,306
  6. Step 6: Final answer
    x = 160,656.60

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.