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Finding the Third Proportional to 129,347 and 193,223

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Solution

The third proportional to 129,347 and 193,223 is: 288,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,347 : 193,223 = 193,223 : x
  2. Step 2: Convert to fraction form
    129,347/193,223 = 193,223/x
  3. Step 3: Cross multiply
    129,347x = 193,223 × 193,223
  4. Step 4: Simplify right side
    129,347x = 37,335,127,729
  5. Step 5: Solve for x
    x = 37,335,127,729/129,347
  6. Step 6: Final answer
    x = 288,643.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.