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Finding the Third Proportional to 72,451.13 and 159,952.13

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Solution

The third proportional to 72,451.13 and 159,952.13 is: 353,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,451.13 : 159,952.13 = 159,952.13 : x
  2. Step 2: Convert to fraction form
    72,451.13/159,952.13 = 159,952.13/x
  3. Step 3: Cross multiply
    72,451.13x = 159,952.13 × 159,952.13
  4. Step 4: Simplify right side
    72,451.13x = 25,584,682,292.02
  5. Step 5: Solve for x
    x = 25,584,682,292.02/72,451.13
  6. Step 6: Final answer
    x = 353,130.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.