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Finding the Third Proportional to 77,419.13 and 164,143.13

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Solution

The third proportional to 77,419.13 and 164,143.13 is: 348,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,419.13 : 164,143.13 = 164,143.13 : x
  2. Step 2: Convert to fraction form
    77,419.13/164,143.13 = 164,143.13/x
  3. Step 3: Cross multiply
    77,419.13x = 164,143.13 × 164,143.13
  4. Step 4: Simplify right side
    77,419.13x = 26,942,965,484.77
  5. Step 5: Solve for x
    x = 26,942,965,484.77/77,419.13
  6. Step 6: Final answer
    x = 348,014.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.