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Finding the Third Proportional to 73,502 and 158,668

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Solution

The third proportional to 73,502 and 158,668 is: 342,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,502 : 158,668 = 158,668 : x
  2. Step 2: Convert to fraction form
    73,502/158,668 = 158,668/x
  3. Step 3: Cross multiply
    73,502x = 158,668 × 158,668
  4. Step 4: Simplify right side
    73,502x = 25,175,534,224
  5. Step 5: Solve for x
    x = 25,175,534,224/73,502
  6. Step 6: Final answer
    x = 342,514.96

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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.