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Finding the Third Proportional to 70,952.63 and 106,728.19

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Solution

The third proportional to 70,952.63 and 106,728.19 is: 160,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952.63 : 106,728.19 = 106,728.19 : x
  2. Step 2: Convert to fraction form
    70,952.63/106,728.19 = 106,728.19/x
  3. Step 3: Cross multiply
    70,952.63x = 106,728.19 × 106,728.19
  4. Step 4: Simplify right side
    70,952.63x = 11,390,906,007.04
  5. Step 5: Solve for x
    x = 11,390,906,007.04/70,952.63
  6. Step 6: Final answer
    x = 160,542.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.