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Finding the Third Proportional to 84,058 and 130,150

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Solution

The third proportional to 84,058 and 130,150 is: 201,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,058 : 130,150 = 130,150 : x
  2. Step 2: Convert to fraction form
    84,058/130,150 = 130,150/x
  3. Step 3: Cross multiply
    84,058x = 130,150 × 130,150
  4. Step 4: Simplify right side
    84,058x = 16,939,022,500
  5. Step 5: Solve for x
    x = 16,939,022,500/84,058
  6. Step 6: Final answer
    x = 201,515.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.