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Finding the Third Proportional to 84,900 and 130,914

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Solution

The third proportional to 84,900 and 130,914 is: 201,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,900 : 130,914 = 130,914 : x
  2. Step 2: Convert to fraction form
    84,900/130,914 = 130,914/x
  3. Step 3: Cross multiply
    84,900x = 130,914 × 130,914
  4. Step 4: Simplify right side
    84,900x = 17,138,475,396
  5. Step 5: Solve for x
    x = 17,138,475,396/84,900
  6. Step 6: Final answer
    x = 201,866.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.