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Finding the Third Proportional to 53,259 and 83,092

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Solution

The third proportional to 53,259 and 83,092 is: 129,635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,259 : 83,092 = 83,092 : x
  2. Step 2: Convert to fraction form
    53,259/83,092 = 83,092/x
  3. Step 3: Cross multiply
    53,259x = 83,092 × 83,092
  4. Step 4: Simplify right side
    53,259x = 6,904,280,464
  5. Step 5: Solve for x
    x = 6,904,280,464/53,259
  6. Step 6: Final answer
    x = 129,635.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.