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Finding the Third Proportional to 117,811.50 and 166,567.50

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Solution

The third proportional to 117,811.50 and 166,567.50 is: 235,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,811.50 : 166,567.50 = 166,567.50 : x
  2. Step 2: Convert to fraction form
    117,811.50/166,567.50 = 166,567.50/x
  3. Step 3: Cross multiply
    117,811.50x = 166,567.50 × 166,567.50
  4. Step 4: Simplify right side
    117,811.50x = 27,744,732,056.25
  5. Step 5: Solve for x
    x = 27,744,732,056.25/117,811.50
  6. Step 6: Final answer
    x = 235,501.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.