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Finding the Third Proportional to 95,242 and 139,909

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Solution

The third proportional to 95,242 and 139,909 is: 205,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,242 : 139,909 = 139,909 : x
  2. Step 2: Convert to fraction form
    95,242/139,909 = 139,909/x
  3. Step 3: Cross multiply
    95,242x = 139,909 × 139,909
  4. Step 4: Simplify right side
    95,242x = 19,574,528,281
  5. Step 5: Solve for x
    x = 19,574,528,281/95,242
  6. Step 6: Final answer
    x = 205,524.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.