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Finding the Third Proportional to 75,529.13 and 164,539.13

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Solution

The third proportional to 75,529.13 and 164,539.13 is: 358,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,529.13 : 164,539.13 = 164,539.13 : x
  2. Step 2: Convert to fraction form
    75,529.13/164,539.13 = 164,539.13/x
  3. Step 3: Cross multiply
    75,529.13x = 164,539.13 × 164,539.13
  4. Step 4: Simplify right side
    75,529.13x = 27,073,123,655.77
  5. Step 5: Solve for x
    x = 27,073,123,655.77/75,529.13
  6. Step 6: Final answer
    x = 358,446.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.