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Finding the Third Proportional to 73,616 and 160,320

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Solution

The third proportional to 73,616 and 160,320 is: 349,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,616 : 160,320 = 160,320 : x
  2. Step 2: Convert to fraction form
    73,616/160,320 = 160,320/x
  3. Step 3: Cross multiply
    73,616x = 160,320 × 160,320
  4. Step 4: Simplify right side
    73,616x = 25,702,502,400
  5. Step 5: Solve for x
    x = 25,702,502,400/73,616
  6. Step 6: Final answer
    x = 349,142.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.