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Finding the Third Proportional to 103,602.45 and 154,764.56

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Solution

The third proportional to 103,602.45 and 154,764.56 is: 231,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,602.45 : 154,764.56 = 154,764.56 : x
  2. Step 2: Convert to fraction form
    103,602.45/154,764.56 = 154,764.56/x
  3. Step 3: Cross multiply
    103,602.45x = 154,764.56 × 154,764.56
  4. Step 4: Simplify right side
    103,602.45x = 23,952,067,595.43
  5. Step 5: Solve for x
    x = 23,952,067,595.43/103,602.45
  6. Step 6: Final answer
    x = 231,192.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.