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Finding the Third Proportional to 129,664 and 195,424

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Solution

The third proportional to 129,664 and 195,424 is: 294,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,664 : 195,424 = 195,424 : x
  2. Step 2: Convert to fraction form
    129,664/195,424 = 195,424/x
  3. Step 3: Cross multiply
    129,664x = 195,424 × 195,424
  4. Step 4: Simplify right side
    129,664x = 38,190,539,776
  5. Step 5: Solve for x
    x = 38,190,539,776/129,664
  6. Step 6: Final answer
    x = 294,534.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.