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Finding the Third Proportional to 107,041.50 and 163,356.75

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Solution

The third proportional to 107,041.50 and 163,356.75 is: 249,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,041.50 : 163,356.75 = 163,356.75 : x
  2. Step 2: Convert to fraction form
    107,041.50/163,356.75 = 163,356.75/x
  3. Step 3: Cross multiply
    107,041.50x = 163,356.75 × 163,356.75
  4. Step 4: Simplify right side
    107,041.50x = 26,685,427,770.56
  5. Step 5: Solve for x
    x = 26,685,427,770.56/107,041.50
  6. Step 6: Final answer
    x = 249,299.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.