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Finding the Third Proportional to 75,712.13 and 159,271.13

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Solution

The third proportional to 75,712.13 and 159,271.13 is: 335,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712.13 : 159,271.13 = 159,271.13 : x
  2. Step 2: Convert to fraction form
    75,712.13/159,271.13 = 159,271.13/x
  3. Step 3: Cross multiply
    75,712.13x = 159,271.13 × 159,271.13
  4. Step 4: Simplify right side
    75,712.13x = 25,367,291,258.77
  5. Step 5: Solve for x
    x = 25,367,291,258.77/75,712.13
  6. Step 6: Final answer
    x = 335,049.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.