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Finding the Third Proportional to 84,748 and 184,077

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Solution

The third proportional to 84,748 and 184,077 is: 399,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,748 : 184,077 = 184,077 : x
  2. Step 2: Convert to fraction form
    84,748/184,077 = 184,077/x
  3. Step 3: Cross multiply
    84,748x = 184,077 × 184,077
  4. Step 4: Simplify right side
    84,748x = 33,884,341,929
  5. Step 5: Solve for x
    x = 33,884,341,929/84,748
  6. Step 6: Final answer
    x = 399,824.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.