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Finding the Third Proportional to 53,210.25 and 79,668.75

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Solution

The third proportional to 53,210.25 and 79,668.75 is: 119,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,210.25 : 79,668.75 = 79,668.75 : x
  2. Step 2: Convert to fraction form
    53,210.25/79,668.75 = 79,668.75/x
  3. Step 3: Cross multiply
    53,210.25x = 79,668.75 × 79,668.75
  4. Step 4: Simplify right side
    53,210.25x = 6,347,109,726.56
  5. Step 5: Solve for x
    x = 6,347,109,726.56/53,210.25
  6. Step 6: Final answer
    x = 119,283.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.