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Finding the Third Proportional to 78,331.50 and 117,153

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Solution

The third proportional to 78,331.50 and 117,153 is: 175,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,331.50 : 117,153 = 117,153 : x
  2. Step 2: Convert to fraction form
    78,331.50/117,153 = 117,153/x
  3. Step 3: Cross multiply
    78,331.50x = 117,153 × 117,153
  4. Step 4: Simplify right side
    78,331.50x = 13,724,825,409
  5. Step 5: Solve for x
    x = 13,724,825,409/78,331.50
  6. Step 6: Final answer
    x = 175,214.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.