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Finding the Third Proportional to 62,968 and 95,058

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Solution

The third proportional to 62,968 and 95,058 is: 143,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,968 : 95,058 = 95,058 : x
  2. Step 2: Convert to fraction form
    62,968/95,058 = 95,058/x
  3. Step 3: Cross multiply
    62,968x = 95,058 × 95,058
  4. Step 4: Simplify right side
    62,968x = 9,036,023,364
  5. Step 5: Solve for x
    x = 9,036,023,364/62,968
  6. Step 6: Final answer
    x = 143,501.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.