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Finding the Third Proportional to 74,526.75 and 111,506.63

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Solution

The third proportional to 74,526.75 and 111,506.63 is: 166,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,526.75 : 111,506.63 = 111,506.63 : x
  2. Step 2: Convert to fraction form
    74,526.75/111,506.63 = 111,506.63/x
  3. Step 3: Cross multiply
    74,526.75x = 111,506.63 × 111,506.63
  4. Step 4: Simplify right side
    74,526.75x = 12,433,727,418.89
  5. Step 5: Solve for x
    x = 12,433,727,418.89/74,526.75
  6. Step 6: Final answer
    x = 166,835.77

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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.