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Finding the Third Proportional to 105,958.69 and 148,500.84

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Solution

The third proportional to 105,958.69 and 148,500.84 is: 208,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,958.69 : 148,500.84 = 148,500.84 : x
  2. Step 2: Convert to fraction form
    105,958.69/148,500.84 = 148,500.84/x
  3. Step 3: Cross multiply
    105,958.69x = 148,500.84 × 148,500.84
  4. Step 4: Simplify right side
    105,958.69x = 22,052,500,594.46
  5. Step 5: Solve for x
    x = 22,052,500,594.46/105,958.69
  6. Step 6: Final answer
    x = 208,123.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.