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Finding the Third Proportional to 74,848 and 163,764

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Solution

The third proportional to 74,848 and 163,764 is: 358,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,848 : 163,764 = 163,764 : x
  2. Step 2: Convert to fraction form
    74,848/163,764 = 163,764/x
  3. Step 3: Cross multiply
    74,848x = 163,764 × 163,764
  4. Step 4: Simplify right side
    74,848x = 26,818,647,696
  5. Step 5: Solve for x
    x = 26,818,647,696/74,848
  6. Step 6: Final answer
    x = 358,308.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.