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Finding the Third Proportional to 84,872 and 183,708

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Solution

The third proportional to 84,872 and 183,708 is: 397,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,872 : 183,708 = 183,708 : x
  2. Step 2: Convert to fraction form
    84,872/183,708 = 183,708/x
  3. Step 3: Cross multiply
    84,872x = 183,708 × 183,708
  4. Step 4: Simplify right side
    84,872x = 33,748,629,264
  5. Step 5: Solve for x
    x = 33,748,629,264/84,872
  6. Step 6: Final answer
    x = 397,641.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.