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Finding the Third Proportional to 84,949 and 134,956.50

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Solution

The third proportional to 84,949 and 134,956.50 is: 214,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,949 : 134,956.50 = 134,956.50 : x
  2. Step 2: Convert to fraction form
    84,949/134,956.50 = 134,956.50/x
  3. Step 3: Cross multiply
    84,949x = 134,956.50 × 134,956.50
  4. Step 4: Simplify right side
    84,949x = 18,213,256,892.25
  5. Step 5: Solve for x
    x = 18,213,256,892.25/84,949
  6. Step 6: Final answer
    x = 214,402.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.