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Finding the Third Proportional to 52,351 and 74,770

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Solution

The third proportional to 52,351 and 74,770 is: 106,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,351 : 74,770 = 74,770 : x
  2. Step 2: Convert to fraction form
    52,351/74,770 = 74,770/x
  3. Step 3: Cross multiply
    52,351x = 74,770 × 74,770
  4. Step 4: Simplify right side
    52,351x = 5,590,552,900
  5. Step 5: Solve for x
    x = 5,590,552,900/52,351
  6. Step 6: Final answer
    x = 106,789.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.