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Finding the Third Proportional to 75,543 and 157,368

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Solution

The third proportional to 75,543 and 157,368 is: 327,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,543 : 157,368 = 157,368 : x
  2. Step 2: Convert to fraction form
    75,543/157,368 = 157,368/x
  3. Step 3: Cross multiply
    75,543x = 157,368 × 157,368
  4. Step 4: Simplify right side
    75,543x = 24,764,687,424
  5. Step 5: Solve for x
    x = 24,764,687,424/75,543
  6. Step 6: Final answer
    x = 327,822.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.