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Finding the Third Proportional to 83,559 and 126,066

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Solution

The third proportional to 83,559 and 126,066 is: 190,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,559 : 126,066 = 126,066 : x
  2. Step 2: Convert to fraction form
    83,559/126,066 = 126,066/x
  3. Step 3: Cross multiply
    83,559x = 126,066 × 126,066
  4. Step 4: Simplify right side
    83,559x = 15,892,636,356
  5. Step 5: Solve for x
    x = 15,892,636,356/83,559
  6. Step 6: Final answer
    x = 190,196.58

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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.