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Finding the Third Proportional to 130,512 and 195,264

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Solution

The third proportional to 130,512 and 195,264 is: 292,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,512 : 195,264 = 195,264 : x
  2. Step 2: Convert to fraction form
    130,512/195,264 = 195,264/x
  3. Step 3: Cross multiply
    130,512x = 195,264 × 195,264
  4. Step 4: Simplify right side
    130,512x = 38,128,029,696
  5. Step 5: Solve for x
    x = 38,128,029,696/130,512
  6. Step 6: Final answer
    x = 292,141.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.