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Finding the Third Proportional to 97,860 and 187,944

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Solution

The third proportional to 97,860 and 187,944 is: 360,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,860 : 187,944 = 187,944 : x
  2. Step 2: Convert to fraction form
    97,860/187,944 = 187,944/x
  3. Step 3: Cross multiply
    97,860x = 187,944 × 187,944
  4. Step 4: Simplify right side
    97,860x = 35,322,947,136
  5. Step 5: Solve for x
    x = 35,322,947,136/97,860
  6. Step 6: Final answer
    x = 360,953.88

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.