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Finding the Third Proportional to 114,669.42 and 174,999.87

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Solution

The third proportional to 114,669.42 and 174,999.87 is: 267,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,669.42 : 174,999.87 = 174,999.87 : x
  2. Step 2: Convert to fraction form
    114,669.42/174,999.87 = 174,999.87/x
  3. Step 3: Cross multiply
    114,669.42x = 174,999.87 × 174,999.87
  4. Step 4: Simplify right side
    114,669.42x = 30,624,953,515.64
  5. Step 5: Solve for x
    x = 30,624,953,515.64/114,669.42
  6. Step 6: Final answer
    x = 267,071.67

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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.