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Finding the Third Proportional to 75,645.56 and 164,597.06

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Solution

The third proportional to 75,645.56 and 164,597.06 is: 358,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,645.56 : 164,597.06 = 164,597.06 : x
  2. Step 2: Convert to fraction form
    75,645.56/164,597.06 = 164,597.06/x
  3. Step 3: Cross multiply
    75,645.56x = 164,597.06 × 164,597.06
  4. Step 4: Simplify right side
    75,645.56x = 27,092,192,983.63
  5. Step 5: Solve for x
    x = 27,092,192,983.63/75,645.56
  6. Step 6: Final answer
    x = 358,146.49

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