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Finding the Third Proportional to 96,415 and 147,903

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Solution

The third proportional to 96,415 and 147,903 is: 226,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,415 : 147,903 = 147,903 : x
  2. Step 2: Convert to fraction form
    96,415/147,903 = 147,903/x
  3. Step 3: Cross multiply
    96,415x = 147,903 × 147,903
  4. Step 4: Simplify right side
    96,415x = 21,875,297,409
  5. Step 5: Solve for x
    x = 21,875,297,409/96,415
  6. Step 6: Final answer
    x = 226,886.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.