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Finding the Third Proportional to 122,572 and 253,016

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Solution

The third proportional to 122,572 and 253,016 is: 522,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,572 : 253,016 = 253,016 : x
  2. Step 2: Convert to fraction form
    122,572/253,016 = 253,016/x
  3. Step 3: Cross multiply
    122,572x = 253,016 × 253,016
  4. Step 4: Simplify right side
    122,572x = 64,017,096,256
  5. Step 5: Solve for x
    x = 64,017,096,256/122,572
  6. Step 6: Final answer
    x = 522,281.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.