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Finding the Third Proportional to 80,528.38 and 106,475.63

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Solution

The third proportional to 80,528.38 and 106,475.63 is: 140,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,528.38 : 106,475.63 = 106,475.63 : x
  2. Step 2: Convert to fraction form
    80,528.38/106,475.63 = 106,475.63/x
  3. Step 3: Cross multiply
    80,528.38x = 106,475.63 × 106,475.63
  4. Step 4: Simplify right side
    80,528.38x = 11,337,058,719.14
  5. Step 5: Solve for x
    x = 11,337,058,719.14/80,528.38
  6. Step 6: Final answer
    x = 140,783.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.