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Finding the Third Proportional to 65,306 and 136,264

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Solution

The third proportional to 65,306 and 136,264 is: 284,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306 : 136,264 = 136,264 : x
  2. Step 2: Convert to fraction form
    65,306/136,264 = 136,264/x
  3. Step 3: Cross multiply
    65,306x = 136,264 × 136,264
  4. Step 4: Simplify right side
    65,306x = 18,567,877,696
  5. Step 5: Solve for x
    x = 18,567,877,696/65,306
  6. Step 6: Final answer
    x = 284,321.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.