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Finding the Third Proportional to 73,488 and 158,616

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Solution

The third proportional to 73,488 and 158,616 is: 342,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,488 : 158,616 = 158,616 : x
  2. Step 2: Convert to fraction form
    73,488/158,616 = 158,616/x
  3. Step 3: Cross multiply
    73,488x = 158,616 × 158,616
  4. Step 4: Simplify right side
    73,488x = 25,159,035,456
  5. Step 5: Solve for x
    x = 25,159,035,456/73,488
  6. Step 6: Final answer
    x = 342,355.70

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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.