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Finding the Third Proportional to 102,504 and 220,060

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Solution

The third proportional to 102,504 and 220,060 is: 472,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,504 : 220,060 = 220,060 : x
  2. Step 2: Convert to fraction form
    102,504/220,060 = 220,060/x
  3. Step 3: Cross multiply
    102,504x = 220,060 × 220,060
  4. Step 4: Simplify right side
    102,504x = 48,426,403,600
  5. Step 5: Solve for x
    x = 48,426,403,600/102,504
  6. Step 6: Final answer
    x = 472,434.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.