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Finding the Third Proportional to 53,745 and 83,499.75

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Solution

The third proportional to 53,745 and 83,499.75 is: 129,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,745 : 83,499.75 = 83,499.75 : x
  2. Step 2: Convert to fraction form
    53,745/83,499.75 = 83,499.75/x
  3. Step 3: Cross multiply
    53,745x = 83,499.75 × 83,499.75
  4. Step 4: Simplify right side
    53,745x = 6,972,208,250.06
  5. Step 5: Solve for x
    x = 6,972,208,250.06/53,745
  6. Step 6: Final answer
    x = 129,727.57

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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.