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Finding the Third Proportional to 74,154.50 and 174,973

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Solution

The third proportional to 74,154.50 and 174,973 is: 412,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,154.50 : 174,973 = 174,973 : x
  2. Step 2: Convert to fraction form
    74,154.50/174,973 = 174,973/x
  3. Step 3: Cross multiply
    74,154.50x = 174,973 × 174,973
  4. Step 4: Simplify right side
    74,154.50x = 30,615,550,729
  5. Step 5: Solve for x
    x = 30,615,550,729/74,154.50
  6. Step 6: Final answer
    x = 412,861.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.