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Finding the Third Proportional to 74,784 and 164,748

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Solution

The third proportional to 74,784 and 164,748 is: 362,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,784 : 164,748 = 164,748 : x
  2. Step 2: Convert to fraction form
    74,784/164,748 = 164,748/x
  3. Step 3: Cross multiply
    74,784x = 164,748 × 164,748
  4. Step 4: Simplify right side
    74,784x = 27,141,903,504
  5. Step 5: Solve for x
    x = 27,141,903,504/74,784
  6. Step 6: Final answer
    x = 362,937.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.