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Finding the Third Proportional to 53,571 and 102,282

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Solution

The third proportional to 53,571 and 102,282 is: 195,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,571 : 102,282 = 102,282 : x
  2. Step 2: Convert to fraction form
    53,571/102,282 = 102,282/x
  3. Step 3: Cross multiply
    53,571x = 102,282 × 102,282
  4. Step 4: Simplify right side
    53,571x = 10,461,607,524
  5. Step 5: Solve for x
    x = 10,461,607,524/53,571
  6. Step 6: Final answer
    x = 195,284.90

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.