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Finding the Third Proportional to 95,237 and 139,903

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Solution

The third proportional to 95,237 and 139,903 is: 205,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,237 : 139,903 = 139,903 : x
  2. Step 2: Convert to fraction form
    95,237/139,903 = 139,903/x
  3. Step 3: Cross multiply
    95,237x = 139,903 × 139,903
  4. Step 4: Simplify right side
    95,237x = 19,572,849,409
  5. Step 5: Solve for x
    x = 19,572,849,409/95,237
  6. Step 6: Final answer
    x = 205,517.28

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Why These Related Problems?

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