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Finding the Third Proportional to 65,046 and 95,083

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Solution

The third proportional to 65,046 and 95,083 is: 138,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,046 : 95,083 = 95,083 : x
  2. Step 2: Convert to fraction form
    65,046/95,083 = 95,083/x
  3. Step 3: Cross multiply
    65,046x = 95,083 × 95,083
  4. Step 4: Simplify right side
    65,046x = 9,040,776,889
  5. Step 5: Solve for x
    x = 9,040,776,889/65,046
  6. Step 6: Final answer
    x = 138,990.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.