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Finding the Third Proportional to 62,641 and 95,946

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Solution

The third proportional to 62,641 and 95,946 is: 146,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,641 : 95,946 = 95,946 : x
  2. Step 2: Convert to fraction form
    62,641/95,946 = 95,946/x
  3. Step 3: Cross multiply
    62,641x = 95,946 × 95,946
  4. Step 4: Simplify right side
    62,641x = 9,205,634,916
  5. Step 5: Solve for x
    x = 9,205,634,916/62,641
  6. Step 6: Final answer
    x = 146,958.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.