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Finding the Third Proportional to 97,848 and 187,920

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Solution

The third proportional to 97,848 and 187,920 is: 360,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,848 : 187,920 = 187,920 : x
  2. Step 2: Convert to fraction form
    97,848/187,920 = 187,920/x
  3. Step 3: Cross multiply
    97,848x = 187,920 × 187,920
  4. Step 4: Simplify right side
    97,848x = 35,313,926,400
  5. Step 5: Solve for x
    x = 35,313,926,400/97,848
  6. Step 6: Final answer
    x = 360,905.96

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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.