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Finding the Third Proportional to 78,250 and 168,668

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Solution

The third proportional to 78,250 and 168,668 is: 363,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,250 : 168,668 = 168,668 : x
  2. Step 2: Convert to fraction form
    78,250/168,668 = 168,668/x
  3. Step 3: Cross multiply
    78,250x = 168,668 × 168,668
  4. Step 4: Simplify right side
    78,250x = 28,448,894,224
  5. Step 5: Solve for x
    x = 28,448,894,224/78,250
  6. Step 6: Final answer
    x = 363,564.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.