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Finding the Third Proportional to 53,529.75 and 83,259

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Solution

The third proportional to 53,529.75 and 83,259 is: 129,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,529.75 : 83,259 = 83,259 : x
  2. Step 2: Convert to fraction form
    53,529.75/83,259 = 83,259/x
  3. Step 3: Cross multiply
    53,529.75x = 83,259 × 83,259
  4. Step 4: Simplify right side
    53,529.75x = 6,932,061,081
  5. Step 5: Solve for x
    x = 6,932,061,081/53,529.75
  6. Step 6: Final answer
    x = 129,499.22

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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.