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Finding the Third Proportional to 42,202 and 65,895

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Solution

The third proportional to 42,202 and 65,895 is: 102,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,202 : 65,895 = 65,895 : x
  2. Step 2: Convert to fraction form
    42,202/65,895 = 65,895/x
  3. Step 3: Cross multiply
    42,202x = 65,895 × 65,895
  4. Step 4: Simplify right side
    42,202x = 4,342,151,025
  5. Step 5: Solve for x
    x = 4,342,151,025/42,202
  6. Step 6: Final answer
    x = 102,889.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.