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Finding the Third Proportional to 53,246.50 and 80,842

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Solution

The third proportional to 53,246.50 and 80,842 is: 122,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,246.50 : 80,842 = 80,842 : x
  2. Step 2: Convert to fraction form
    53,246.50/80,842 = 80,842/x
  3. Step 3: Cross multiply
    53,246.50x = 80,842 × 80,842
  4. Step 4: Simplify right side
    53,246.50x = 6,535,428,964
  5. Step 5: Solve for x
    x = 6,535,428,964/53,246.50
  6. Step 6: Final answer
    x = 122,739.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.