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Finding the Third Proportional to 66,584 and 144,256

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Solution

The third proportional to 66,584 and 144,256 is: 312,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,584 : 144,256 = 144,256 : x
  2. Step 2: Convert to fraction form
    66,584/144,256 = 144,256/x
  3. Step 3: Cross multiply
    66,584x = 144,256 × 144,256
  4. Step 4: Simplify right side
    66,584x = 20,809,793,536
  5. Step 5: Solve for x
    x = 20,809,793,536/66,584
  6. Step 6: Final answer
    x = 312,534.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.