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Finding the Third Proportional to 52,259 and 112,903

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Solution

The third proportional to 52,259 and 112,903 is: 243,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,259 : 112,903 = 112,903 : x
  2. Step 2: Convert to fraction form
    52,259/112,903 = 112,903/x
  3. Step 3: Cross multiply
    52,259x = 112,903 × 112,903
  4. Step 4: Simplify right side
    52,259x = 12,747,087,409
  5. Step 5: Solve for x
    x = 12,747,087,409/52,259
  6. Step 6: Final answer
    x = 243,921.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.