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Finding the Third Proportional to 75,451.50 and 147,060.56

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Solution

The third proportional to 75,451.50 and 147,060.56 is: 286,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451.50 : 147,060.56 = 147,060.56 : x
  2. Step 2: Convert to fraction form
    75,451.50/147,060.56 = 147,060.56/x
  3. Step 3: Cross multiply
    75,451.50x = 147,060.56 × 147,060.56
  4. Step 4: Simplify right side
    75,451.50x = 21,626,809,042.82
  5. Step 5: Solve for x
    x = 21,626,809,042.82/75,451.50
  6. Step 6: Final answer
    x = 286,631.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.