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Finding the Third Proportional to 73,543 and 155,753

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Solution

The third proportional to 73,543 and 155,753 is: 329,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,543 : 155,753 = 155,753 : x
  2. Step 2: Convert to fraction form
    73,543/155,753 = 155,753/x
  3. Step 3: Cross multiply
    73,543x = 155,753 × 155,753
  4. Step 4: Simplify right side
    73,543x = 24,258,997,009
  5. Step 5: Solve for x
    x = 24,258,997,009/73,543
  6. Step 6: Final answer
    x = 329,861.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.