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Finding the Third Proportional to 97,872 and 141,300

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Solution

The third proportional to 97,872 and 141,300 is: 203,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,872 : 141,300 = 141,300 : x
  2. Step 2: Convert to fraction form
    97,872/141,300 = 141,300/x
  3. Step 3: Cross multiply
    97,872x = 141,300 × 141,300
  4. Step 4: Simplify right side
    97,872x = 19,965,690,000
  5. Step 5: Solve for x
    x = 19,965,690,000/97,872
  6. Step 6: Final answer
    x = 203,997.98

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.