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Finding the Third Proportional to 52,039 and 74,362

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Solution

The third proportional to 52,039 and 74,362 is: 106,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039 : 74,362 = 74,362 : x
  2. Step 2: Convert to fraction form
    52,039/74,362 = 74,362/x
  3. Step 3: Cross multiply
    52,039x = 74,362 × 74,362
  4. Step 4: Simplify right side
    52,039x = 5,529,707,044
  5. Step 5: Solve for x
    x = 5,529,707,044/52,039
  6. Step 6: Final answer
    x = 106,260.82

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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.