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Finding the Third Proportional to 74,758 and 162,607

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Solution

The third proportional to 74,758 and 162,607 is: 353,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,758 : 162,607 = 162,607 : x
  2. Step 2: Convert to fraction form
    74,758/162,607 = 162,607/x
  3. Step 3: Cross multiply
    74,758x = 162,607 × 162,607
  4. Step 4: Simplify right side
    74,758x = 26,441,036,449
  5. Step 5: Solve for x
    x = 26,441,036,449/74,758
  6. Step 6: Final answer
    x = 353,688.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.