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Finding the Third Proportional to 84,785 and 134,961.50

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Solution

The third proportional to 84,785 and 134,961.50 is: 214,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,785 : 134,961.50 = 134,961.50 : x
  2. Step 2: Convert to fraction form
    84,785/134,961.50 = 134,961.50/x
  3. Step 3: Cross multiply
    84,785x = 134,961.50 × 134,961.50
  4. Step 4: Simplify right side
    84,785x = 18,214,606,482.25
  5. Step 5: Solve for x
    x = 18,214,606,482.25/84,785
  6. Step 6: Final answer
    x = 214,832.89

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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.