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Finding the Third Proportional to 83,308 and 129,033

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Solution

The third proportional to 83,308 and 129,033 is: 199,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,308 : 129,033 = 129,033 : x
  2. Step 2: Convert to fraction form
    83,308/129,033 = 129,033/x
  3. Step 3: Cross multiply
    83,308x = 129,033 × 129,033
  4. Step 4: Simplify right side
    83,308x = 16,649,515,089
  5. Step 5: Solve for x
    x = 16,649,515,089/83,308
  6. Step 6: Final answer
    x = 199,854.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.