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Finding the Third Proportional to 136,080 and 204,264

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Solution

The third proportional to 136,080 and 204,264 is: 306,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,080 : 204,264 = 204,264 : x
  2. Step 2: Convert to fraction form
    136,080/204,264 = 204,264/x
  3. Step 3: Cross multiply
    136,080x = 204,264 × 204,264
  4. Step 4: Simplify right side
    136,080x = 41,723,781,696
  5. Step 5: Solve for x
    x = 41,723,781,696/136,080
  6. Step 6: Final answer
    x = 306,612.15

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Why These Related Problems?

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