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Finding the Third Proportional to 74,787 and 163,653

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Solution

The third proportional to 74,787 and 163,653 is: 358,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,787 : 163,653 = 163,653 : x
  2. Step 2: Convert to fraction form
    74,787/163,653 = 163,653/x
  3. Step 3: Cross multiply
    74,787x = 163,653 × 163,653
  4. Step 4: Simplify right side
    74,787x = 26,782,304,409
  5. Step 5: Solve for x
    x = 26,782,304,409/74,787
  6. Step 6: Final answer
    x = 358,114.44

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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.